Persons: Panyushev, Dmitri Ivanovich

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Panyushev, Dmitri Ivanovich

Total publications:	130 (129)
in MathSciNet:	122 (121)
in zbMATH:	125 (124)
in Web of Science:	108 (107)
in Scopus:	104 (104)
Cited articles:	97
Citations:	880
Presentations:	17

Number of views:
This page:	1434
Abstract pages:	7836
Full texts:	2250
References:	1043

Head Scientist Researcher

Doctor of physico-mathematical sciences (1996)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

Keywords:

Lie group, seaweed Lie algebra, algebraic combinatorics, representation and invariant theory.

UDC:

519.4, 512

MSC:

05E15, 06A07, 14L30, 17B08, 17B20, 22E46

Subject:

Lie group, Lie algebra, algebraic combinatorics, representation and invariant theory, Poisson geometry

Main publications:

D. Panyushev, “Weight multiplicity free representations, $\mathfrak g$-endomorphism algebras, and Dynkin polynomials”, J. London Math. Soc., 69:2 (2004), 273–290
D. Panyushev, “On invariant theory of $\theta$-groups”, J. Algebra, 283:2 (2005), 655–670
D. Panyushev, “Semi-direct products of Lie algebras and their invariants”, Publ. R.I.M.S., 43:4 (2007), 1199–1257
D. Panyushev, “On the coadjoint representation of $\mathbb Z_2$-contractions of reductive Lie algebras”, Advances in Math., 213 (2007), 380–404
D. Panyushev, “On the orbits of a Borel subgroup in abelian ideals”, Transformation Groups, 22 (2017), 503–524

https://www.mathnet.ru/eng/person19591

List of publications on Google Scholar

https://zbmath.org/authors/ai:panyushev.dmitri-i

https://mathscinet.ams.org/mathscinet/MRAuthorID/193629

https://elibrary.ru/author_items.asp?authorid=12804

https://www.scopus.com/authid/detail.url?authorId=7003834098

Full list of scientific publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	D.I. Panyushev, “Complexity and nilpotent orbits”, Manuscripta Math., 83:3-4 (1994), 223–237	50 ^[x]
2.	D. I. Panyushev, “Inductive formulas for the index of seaweed Lie algebras”, Mosc. Math. J., 1:2 (2001), 221–241	48 ^[x]
3.	D.I. Panyushev, A.A. Premet, O.S. Yakimova, “On symmetric invariants of centralisers in reductive Lie algebras”, J. Algebra, 313:1 (2007), 343–391 (Special Issue in Honor of Ernest Vinberg)	40 ^[x]
4.	D.I. Panyushev, “On spherical nilpotent orbits and beyond”, Ann. Inst. Fourier (Grenoble), 49:5 (1999), 1453–1476	36 ^[x]
5.	D.I. Panyushev, O.S. Yakimova, “The argument shift method and maximal commutative subalgebras of Poisson algebras”, Math. Res. Letters, 15:2 (2008), 239–249	30 ^[x]
6.	D. I. Panyushev, “Rationality of singularities and the Gorenstein property for nilpotent orbits”, Funct. Anal. Appl., 25:3 (1991), 225–226
7.	D.I. Panyushev, “On invariant theory of $\theta$-groups”, J. Algebra, 283:2 (2005), 655–670	28 ^[x]
8.	D.I. Panyushev, “Complexity and rank of homogeneous spaces”, Geom. Dedicata, 34:3 (1990), 249–269	28 ^[x]
9.	D.I. Panyushev, “On the coadjoint representation of ${\mathbb Z}_2$-contractions of reductive Lie algebras”, Adv. Math., 213:2 (2007), 380–404	27 ^[x]
10.	D.I. Panyushev, “ad-nilpotent ideals of a Borel subalgebra: generators and duality”, J. Algebra, 274:2 (2004), 822–846	25 ^[x]
11.	D.I. Panyushev, G. Röhrle, “Spherical orbits and abelian ideals”, Adv. Math., 159:2 (2001), 229–246	25 ^[x]
12.	D.I. Panyushev, “The index of a Lie algebra, the centraliser of a nilpotent element, and the normaliser of the centraliser”, Math. Proc. Cambr. Phil. Soc., 134:1 (2003), 41–59	23 ^[x]
13.	D.I. Panyushev, “On orbits of antichains of positive roots”, European J. Combin., 30:2 (2009), 586–594	21 ^[x]
14.	D.I. Panyushev, “Abelian ideals of a Borel subalgebra and long positive roots”, Intern. Math. Res. Notices, 2003:35 (2003), 1889–1913	19 ^[x]
15.	D.I. Panyushev, “Some amazing properties of spherical nilpotent orbits”, Math. Z., 245:3 (2003), 557–580	16 ^[x]
16.	D.I. Panyushev, “Isotropy representations, eigenvalues of a Casimir element, and commutative Lie subalgebras”, J. London Math. Soc., 64:1 (2001), 61–80	16 ^[x]
17.	D.I. Panyushev, “Two results on centralisers of nilpotent elements”, J. Pure Appl. Alg., 212:4 (2008), 774–779	15 ^[x]
18.	D.I. Panyushev, “Semi-direct products of Lie algebras and their invariants”, Publ. RIMS, 43:4 (2007), 1199–1257	14 ^[x]
19.	D.I. Panyushev, “Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles”, Selecta Math. (New Series), 16:2 (2010), 315–342	13 ^[x]
20.	D.I. Panyushev, “An extension of Raïs theorem and seaweed subalgebras of simple Lie algebras,”, Ann. Inst. Fourier (Grenoble), 55:3 (2005), 693–715	13 ^[x]
21.	D.I. Panyushev, “The exterior algebra and `Spin of an orthogonal $\mathfrak g$-module”, Transformation Groups, 6:4 (2001), 371–396	13 ^[x]
22.	D.I. Panyushev, “Complexity and rank of actions in invariant theory”, J. Math. Sci (New York), 95:1 (1999), 1925–1985	13 ^[x]
23.	D.I. Panyushev, “A restriction theorem and the Poincar\e series for $U$-invariants”, Math. Ann., 301:4 (1995), 655–675	13 ^[x]
24.	D.I. Panyushev, “On the conormal bundle of a $G$-stable subvariety”, Manuscripta Math., 99:2 (1999), 185–202	12 ^[x]
25.	D.I. Panyushev, “Complexity and rank of double cones and tensor product decompositions”, Comment. Math. Helv., 68:3 (1993), 455–468	11 ^[x]
26.	D.I. Panyushev, O.S. Yakimova, “Symmetric pairs and associated commuting varieties”, Math. Proc. Cambr. Phil. Soc., 143:2 (2007), 307–321	10 ^[x]
27.	D. Gurevich, D.I. Panyushev, “On Poisson pairs associated to modified $R$-matrices”, Duke Math. J., 73:2 (1994), 249–255	10 ^[x]
28.	D. I. Panyushev, “On orbit spaces of finite and connected linear groups”, Math. USSR-Izv., 20:1 (1983), 97–101
29.	D.I. Panyushev, O.S. Yakimova, “Parabolic contractions of semisimple Lie algebras and their invariants”, Selecta Math. (New Series), 19 (2013), 699–717	9 ^[x]
30.	D.I. Panyushev, O.S. Yakimova, “A remarkable contraction of semisimple Lie algebras”, Ann. Inst. Fourier (Grenoble), 62:6 (2012), 2053–2068	9 ^[x]
31.	D. N. Akhiezer, D. I. Panyushev, “Multiplicities in the branching rules and the complexity of homogeneous spaces”, Mosc. Math. J., 2:1 (2002), 17–33	9 ^[x]
32.	D.I. Panyushev, “Parabolic subgroups with Abelian unipotent radical as a testing site for Invariant Theory”, Canad. J. Math., 51:3 (1999), 616–635	9 ^[x]
33.	D.I. Panyushev, “The poset of positive roots and its relatives”, J. Algebraic Combin., 23:1 (2006), 79–101	8 ^[x]
34.	D. I. Panyushev, “On the Irreducibility of Commuting Varieties Associated with Involutions of Simple Lie Algebras”, Funct. Anal. Appl., 38:1 (2004), 38–44
35.	D.I. Panyushev, “Weight multiplicity free representations, $\mathfrak g$-endomorphism algebras, and Dynkin polynomials”, J. London. Math. Soc., 69:2 (2004), 273–290	8 ^[x]
36.	D.I. Panyushev, “On the orbits of a Borel subgroup in abelian ideals”, Transformation Groups, 22:2 (2017), 503–524	7 ^[x]
37.	D.I. Panyushev, O.S. Yakimova, “On seaweed subalgebras and meander graphs in type C”, Pacific J. Math., 285:2 (2016), 485–499	7 ^[x]
38.	D.I. Panyushev, “Nilpotent pairs, dual pairs, and sheets”, J. Algebra, 240:2 (2001), 635–664	7 ^[x]
39.	D. I. Panyushev, “Regular elements in spaces of linear representations of reductive algebraic groups”, Math. USSR-Izv., 24:2 (1985), 383–390
40.	D. I. Panyushev, “Semisimple automorphism groups of four-dimensional affine space”, Math. USSR-Izv., 23:1 (1984), 171–183
41.	D.I. Panyushev, O.S. Yakimova, “On seaweed subalgebras and meander graphs in type D”, J. Pure Applied Alg., 222:11 (2018), 3414–3431	6 ^[x]
42.	D.I. Panyushev, “Abelian ideals of a Borel subalgebra and root systems”, J. Eur. Math. Soc., 16:12 (2014), 2693–2708	6 ^[x]
43.	D.I. Panyushev, “On the Dynkin index of a principal $\mathfrak{sl}_2$-subalgebra”, Adv. Math., 221:4 (2009), 1115–1121	6 ^[x]
44.	A.G. Elashvili, D.I. Panyushev, “A classification of the principal nilpotent pairs in simple Lie algebras and related problems”, J. London Math. Soc., 63:2 (2001), 299–318	6 ^[x]
45.	D. I. Panyushev, O. S. Yakimova, “Poisson-commutative subalgebras of $S(\mathfrak g)$ associated with involutions,”, Intern. Math. Res. Notices, 2021:23 (2021), 18367–18406	5 ^[x]
46.	D.I. Panyushev, O.S. Yakimova, “Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties”, Math. Z., 295:1–2 (2020), 101–127	5 ^[x]
47.	D.I. Panyushev, O.S. Yakimova, “Takiff algebras with polynomial rings of symmetric invariants”, Transformation Groups, 25:2 (2020), 609–624	5 ^[x]
48.	D.I. Panyushev, E.B. Vinberg, “The work of Vladimir Morozov on Lie algebras”, Transformation Groups, 15:4 (2010), 1001–1013	5 ^[x]
49.	D.I. Panyushev, “Normalizers of ad-nilpotent ideals”, European J. Combin., 27:2 (2006), 153–178	5 ^[x]
50.	D.I. Panyushev, G. Röhrle, “On spherical ideals of Borel subalgebras”, Archiv Math. (Basel), 84:3 (2005), 225–232	5 ^[x]
51.	D.I. Panyushev, “Short antichains in root systems, semi-Catalan arrangements, and $B$-stable subspaces”, European J. Combin., 25:1 (2004), 93–112	5 ^[x]
52.	D.I. Panyushev, “Long Abelian ideals”, Adv. Math., 186:2 (2004), 307–316	5 ^[x]
53.	D.I. Panyushev, “Nilpotent pairs in semisimple Lie algebras and their characteristics”, Intern. Math. Res. Notices, 2000:1 (2000), 1–21	5 ^[x]
54.	D.I. Panyushev, “On deformation method in Invariant Theory”, Ann. Inst. Fourier (Grenoble), 47:4 (1997), 985–1012	5 ^[x]
55.	D. I. Panyushev, “The structure of the canonical module and the Gorenstein property for some quasihomogeneous varieties”, Math. USSR-Sb., 65:1 (1990), 81–95
56.	D. I. Panyushev, “Orbits of maximal dimension of solvable subgroups of reductive linear groups, and reduction for $U$-invariants”, Math. USSR-Sb., 60:2 (1988), 365–375
57.	D.I. Panyushev, “The Dynkin index and $\mathfrak{sl}_2$-subalgebras of simple Lie algebras”, J. Algebra, 430 (2015), 15–25	4 ^[x]
58.	D.I. Panyushev, O.S. Yakimova, “On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras”, Bull. Sci. Math., 138:6 (2014), 705–720	4 ^[x]
59.	D.I. Panyushev, “Commuting involutions and degenerations of isotropy representations”, Transformation Groups, 18:2 (2013), 507–537	4 ^[x]
60.	D.I. Panyushev, “Periodic automorphisms of Takiff algebras, contractions, and $\theta$-groups”, Transformation Groups, 14:2 (2009), 463–482	4 ^[x]
61.	D.I. Panyushev, O.S. Yakimova, “The index of representations associated with stabilisers”, J. Algebra, 302:1 (2006), 280–304	4 ^[x]
62.	D.I. Panyushev, “On covariants of reductive algebraic groups”, Indag. Math. (New Series), 13:2 (2002), 125–129	4 ^[x]
63.	D.I. Panyushev, “Cones of highest weight vectors, weight polytopes, and Lusztig's $q$-analog”, Transformation Groups, 2:1 (1997), 91–115	4 ^[x]
64.	D.I. Panyushev, “On homogeneous spaces of rank one”, Indag. Math. (New Ser.), 6:3 (1995), 315–323	4 ^[x]
65.	D. I. Panyushev, “Resolution of singularities of affine normal quasihomogeneous $SL_2$-varieties”, Funct. Anal. Appl., 22:4 (1988), 338–339
66.	D.I. Panyushev, “Antichains in weight posets associated with gradings of simple Lie algebras”, Math. Z., 281:3-4 (2015), 1191–1214	3 ^[x]
67.	D. I. Panyushev, O. S. Yakimova, “The PRV-Formula for Tensor Product Decompositions and Its Applications”, Funct. Anal. Appl., 42:1 (2008), 45–52
68.	D.I. Panyushev, “On actions of a maximal torus on orbits of highest weight vectors”, J. Algebra, 212:2 (1999), 683–702	3 ^[x]
69.	D. I. Panyushev, “Multiplicities of Weights of Some Representations and Convex Polytopes”, Funct. Anal. Appl., 28:4 (1994), 293–295
70.	D. I. Panyushev, “On Semisimple Groups Admitting a Finite Coregular Extension”, Funct. Anal. Appl., 27:3 (1993), 216–217
71.	D. I. Panyushev, “The canonical module of a quasihomogeneous normal affine $SL_2$-variety”, Math. USSR-Sb., 73:2 (1992), 569–578
72.	D. I. Panyushev, “Regular elements in spaces of linear representations. II”, Math. USSR-Izv., 27:2 (1986), 279–284
73.	D. I. Panyushev, O. S. Yakimova, “Compatible Poisson brackets associated with 2-splittings and Poisson commutative subalgebras of $S(\mathfrak g)$”, J. London Math. Soc., 103:4 (2021), 1577–1595	2 ^[x]
74.	D. I. Panyushev, O. S. Yakimova, “Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras”, Transformation Groups, 26:2 (2021), 641–670	2 ^[x]
75.	D.I. Panyushev, “Abelian ideals of a Borel subalgebra and root systems, II”, Algebras Representation Theory, 23:4 (2020), 1487–1498	2 ^[x]
76.	D.I. Panyushev, O.S. Yakimova, “Symmetric invariants related to representations of exceptional simple groups”, Trans. Moscow Math. Soc., 78 (2017), 161–170
77.	D.I. Panyushev, “Minimal inversion complete sets and maximal abelian ideals”, J. Algebra, 445 (2016), 163–180	2 ^[x]
78.	D.I. Panyushev, “Wide subalgebras of semisimple Lie algebras”, Algebras Representation Theory, 17:3 (2014), 931–944	2 ^[x]
79.	D.I. Panyushev, “Fredmans reciprocity, invariants of abelian groups, and the permanent of the Cayley table”, J. Alg. Combin., 33:1 (2011), 111–125	2 ^[x]
80.	Dmitri I. Panyushev, “Properties of weight posets for weight multiplicity free representations”, Mosc. Math. J., 9:4 (2009), 867–883	2 ^[x]
81.	D.I. Panyushev, “Reductive group actions on affine varieties and their doubling”, Ann. Inst. Fourier (Grenoble), 45:4 (1995), 929–950	2 ^[x]
82.	D.I. Panyushev, “Affine quasihomogeneous normal ${SL}_{2}$-varieties: Hilbert function and blow-ups”, Lie groups, their Discrete Subgroups and Invariant Theory, Adv. Sov. Math., 8, ed. E.B. Vinberg, AMS, Providence, RI, 1992, 131–149	2 ^[x]
83.	D.I. Panyushev, “Complexity of quasiaffine homogeneous varieties, $t$-decompositions and affine homogeneous spaces of complexity 1”, Lie groups, their Discrete Subgroups and Invariant Theory, Adv. Sov. Math., 8, ed. E.B. Vinberg, AMS, Providence, RI, 1992, 151–166	2 ^[x]
84.	D. I. Panyushev, “Commutative polarisations and the Kostant cascade”, Algebras and Representation Theory, 26:3 (2023), 967–985 , arXiv: 2108.07750	1 ^[x]
85.	D. I. Panyushev, O. S. Yakimova, “Reductive subalgebras of semisimple Lie algebras and Poisson commutativity”, J. Symplectic Geometry, 20:4 (2022), 911–926 , arXiv: 2012.04014	1 ^[x]
86.	D.I. Panyushev, “Glorious pairs of roots and abelian ideals of a Borel subalgebra”, J. Algebraic Combin., 52:4 (2020), 505–525	1 ^[x]
87.	D.I. Panyushev, O.S. Yakimova, “Semi-direct products of Lie algebras and covariants”, J. Algebra, 490 (2017), 283–315	1 ^[x]
88.	D.I. Panyushev, “Commuting involutions of Lie algebras, commuting varieties, and simple Jordan algebras”, Algebra Number Theory, 7:6 (2013), 1505–1534	1 ^[x]
89.	D.I. Panyushev, “Invariants of a maximal unipotent subgroup and equidimensionality”, Bull. Sci. Math., 136:2 (2012), 149–161	1 ^[x]
90.	D.I. Panyushev, “Two covering polynomials of a finite poset, with applications to root systems and ad-nilpotent ideals”, J. Combinatorics, 3:1 (2012), 63–89	1 ^[x]
91.	D.I. Panyushev, “On divisible weighted Dynkin diagrams and reachable elements”, Transformation Groups, 15:4 (2010), 983–999	1 ^[x]
92.	D.I. Panyushev, “Adjoint vector fields and differential operators on representation spaces”, Bull. London Math. Soc., 40:6 (2008), 1045–1064	1 ^[x]
93.	D.I. Panyushev, “Commutative subalgebras and sphericity in ${\mathbb Z}_2$-graded Lie algebras”, Bull. London Math. Soc., 38:5 (2006), 753–763	1 ^[x]
94.	D.I. Panyushev, “Ideals of Heisenberg type and minimax elements of affine Weyl groups”, Lie Groups and Invariant Theory, Amer. Math. Soc. Transl., Series 2, 213, ed. E.B. Vinberg, AMS, Providence, RI, 2005, 191–213	1 ^[x]
95.	D.I. Panyushev, “On reachable elements and the boundary of nilpotent orbits in simple Lie algebras”, Bull. Sci. Math., 128:10 (2004), 859–870	1 ^[x]
96.	D.I. Panyushev, “Actions of `nilpotent tori on $G$-varieties”, Indag. Math. (New Series), 10:4 (1999), 565–579	1 ^[x]
97.	D.I. Panyushev, E.B. Vinberg, “An infinitesimal characterization of the complexity of homogeneous spaces”, Transformation Groups, 4:1 (1999), 97–101	1 ^[x]
98.	D. I. Panyushev, O. S. Yakimova, “Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of $S(\mathfrak g)$”, Mathematische Zeitschrift, 303:2 (2023), 51 , 30 pp., arXiv: 2211.10664
99.	D. I. Panyushev, “Combinatorial and geometric constructions associated with the Kostant cascade”, Journal of Lie Theory, 33:2 (2023), 497–526 , arXiv: 2205.09994
100.	D. I. Panyushev, “Projections of the minimal nilpotent orbit in a simple Lie algebra and secant varieties”, Math. Proc. Camb. Phil. Soc., 175:3 (2023), 595–624 , arXiv: 2105.02709
101.	D. I. Panyushev, “Nilpotent orbits and mixed gradings of semisimple Lie algebras”, Indag. Math., 32:5 (2021), 1095–1114
102.	D.I. Panyushev, “Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications”, Adv. Math., 374 (2020), 107390 , 31 pp., arXiv: 1912.00341
103.	D.I. Panyushev, O.S. Yakimova, “Semi-direct products involving $Sp_{2n}$ or $Spin_n$ with free algebras of symmetric invariants”, Representations and Nilpotent Orbits of Lie Algebraic Systems, In Honour of the 75th Birthday of Tony Joseph, Progr. Math., 330, eds. M. Gorelik, V. Hinich, A. Melnikov, Birkhäuser, Cham, 2019, 441–470
104.	D.I. Panyushev, O.S. Yakimova, “Nilpotent subspaces and nilpotent orbits”, J. Austral. Mah. Soc., 106:1 (2019), 104–126
105.	D.I. Panyushev, “Abelian ideals and amazing roots”, Intern. J. Math., 28:14 (2017), 1750105 , 9 pp.
106.	D.I. Panyushev, “Weight posets associated with gradings of simple Lie algebras, Weyl groups, and arrangements of hyperplanes”, J. Alg. Combin., 44:2 (2016), 325–344
107.	D.I. Panyushev, “On Lusztig's $q$-analogues of all weight multiplicities of a representation”, Arbeitstagung Bonn 2013, In Memory of Friedrich Hirzebruch, Progr. Math., 319, eds. W. Ballmann, C. Blohmann, G. Faltings, P. Teichner, D. Zagier, Birkhäuser, Cham, 2016, 289–305
108.	D.I. Panyushev, “Normalisers of abelian ideals of Borel subalgebras and $\mathbb Z$-gradings of a simple Lie algebra”, J. Lie Theory, 26:3 (2016), 659–672
109.	D.I. Panyushev, “Invariant theory of little adjoint modules”, J. Lie Theory, 22:3 (2012), 803–816
110.	D.I. Panyushev, “Quotients by actions of the derived group of a maximal unipotent subgroup”, Pacific J. Math., 256:2 (2012), 381–405
111.	D.I. Panyushev, “Abelian ideals of a Borel subalgebra and subsets of the Dynkin diagram”, J. Algebra, 344:1 (2011), 197–204
112.	D.I. Panyushev, “Actions of the derived group of a maximal unipotent subgroup on $G$-varieties”, Intern. Math. Res. Notices, 2010:4 (2010), 674–700
113.	D.I. Panyushev, “On maximal Poisson-commutative subalgebras in the symmetric algebra of a Lie algebra (joint work with O. Yakimova)” (Oberwolfach, April 22–28, 2007), Oberwolfach Reports, 4:2 (2007), 1201–1203
114.	D.I. Panyushev, “Regions in the dominant chamber and nilpotent orbits”, Bull. Sci. Math., 128:1 (2004), 1–6
115.	D. I. Panyushev, “On dual cones and expansions of tensor products”, Russian Math. Surveys, 51:2 (1996), 343–344
116.	D.I. Panyushev, “Good properties of algebras of invariants and defect of linear representations”, J. Lie Theory, 5:1 (1995), 81–99
117.	D.I. Panyushev, “The Jacobian modules of a Lie algebra and geometry of commuting varieties”, Compositio Math., 94:2 (1994), 181–199
118.	D.I. Panyushev, “Razreshenie osobennostei affinnykh normalnykh kvaziodnorodnykh $SL_{2}$-mnogoobrazii”, Arifmetika i geometriya mnogoobrazii, Mezhvuzovskii sbornik nauchnykh statei, eds. Z.I. Borevich, V.E. Voskresenskii, Samarskii Gosuniversitet, Samara, 1992, 115–132
119.	D. I. Panyushev, “Complexity and rank of homogeneous spaces and the co-isotropy representation”, Dokl. Math., 40:1 (1990), 63–66
120.	D.I. Panyushev, “O deistviyakh additivnoi gruppy na $\mathbb{ A}^{n}$”, Arifmetika i geometriya mnogoobrazii, Mezhvuzovskii sbornik nauchnykh statei, eds. Z.I. Borevich, V.E. Voskresenskii, Kuibyshevskii Gosuniversitet, Kuibyshev, 1989, 105–114
121.	D.I. Panyushev, “Kanonicheskii modul affinnogo normalnogo kvaziodnorodnogo $SL_{2}$-mnogoobraziya”, Mezhdunarodnaya konferentsiya po algebre pamyati A.I. Maltseva, Tezisy soobschenii (algebraicheskaya geometriya) (Novosibirsk, 21–26 avgusta 1989 g.), 1989, 46–46
122.	D.I. Panyushev, “Deistvie gruppy $SL_{2}$ bez trekhmernykh orbit na faktorialnykh mnogoobraziyakh”, Voprosy teorii grupp i gomologicheskoi algebry, vyp. 8, eds. A.L. Onischik, YarGU, Yaroslavl, 1988, 4–9
123.	D.I. Panyushev, “Gorenshteinovy mnogoobraziya primitivnykh vektorov”, Tezisy soobschenii 19-oi Vsesoyuznoi algebraicheskoi konferentsii, ch. 2 (Lvov, 9–11 sentyabrya 1987 g.), 336 s., LGU, Lvov, 1987, 218
124.	D. I. Panyushev, “A problem on the Steinberg conjecture”, Funct. Anal. Appl., 19:2 (1985), 152–153
125.	D. I. Panyushev, “Correction to my paper “Semisimple automorphism groups of four-dimensional affine space””, Math. USSR-Izv., 27:3 (1986), 607–608
126.	D.I. Panyushev, D.K. Tkhabisimov, D.A. Usikov, N.G. Chebotarev, “Matematicheskie osnovy postroeniya sistem invariantnykh priznakov v zadache raspoznavaniya obrazov”, Matematicheskie metody issledovaniya prirodnykh resursov Zemli iz kosmosa, 176 s., eds. V.G. Zolotukhin, Nauka, M., 1984, 11–22
127.	D.I. Panyushev, “Isomorphisms between orbit spaces”, Mosc. Univ. Math. Bull., 38:5 (1983), 26–30
128.	D.I. Panyushev, “Differentsialnyi kriterii regulyarnosti dlya nekotorykh lineinykh predstavlenii”, Tezisy soobschenii 17-oi Vsesoyuznoi algebraicheskoi konferentsii, ch. 1, 230 s. (Minsk, 14–17 sentyabrya 1983), Minsk, 1983, 144–145
129.	D.I. Panyushev, “Klassifikatsiya chetyrekhmernykh antikommutativnykh algebr s netrivialnoi gruppoi avtomorfizmov”, Voprosy teorii grupp i gomologicheskoi algebry, vyp. 2, eds. A.L. Onischik, YarGU, Yaroslavl, 1982, 98–106
130.	D. V. Alekseevskii, M. V. Belolipetsky, S. G. Gindikin, V. G. Kac, D. I. Panyushev, D. A. Timashev, O. V. Shvartsman, A. G. Elashvili, O. S. Yakimova, “Èrnest Borisovich Vinberg (obituary)”, Russian Math. Surveys, 76:6 (2021), 1123–1135

Presentations in Math-Net.Ru

1.	Invariant-theoretic properties of nilradicals D. I. Panyushev Lie groups and invariant theory February 22, 2023 17:00
2.	Frobenius subalgebras and quasi-decompositions D. I. Panyushev Lie groups and invariant theory March 30, 2022 17:00
3.	The Kostant cascade: its role, significance, and utility D. I. Panyushev Lie groups and invariant theory October 6, 2021 17:00
4.	Nilpotent orbits and mixed gradings of semisimple Lie algebras D. I. Panyushev Lie groups and invariant theory February 24, 2021 17:00
5.	Элементы Казимира для подалгебр Леви и вокруг D. I. Panyushev VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 27, 2020 12:15
6.	Takiff algebras with polynomial rings of symmetric invariants D. Panyushev Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday December 18, 2017 15:30
7.	Nilpotent subspaces and nilpotent orbits (joint work with O. Yakimova) D. I. Panyushev Lie groups and invariant theory March 30, 2016 16:45
8.	Parabolic contractions of semisimple Lie algebras and their invariants (joint work with O. S. Yakimova) D. I. Panyushev Lie groups and invariant theory February 12, 2014 16:45
9.	Wide subalgebras of semisimple Lie algebras D. I. Panyushev Lie groups and invariant theory January 23, 2013
10.	Commuting involutions of Lie algebras, commutator varieties, and simple Jordan algebras D. I. Panyushev Lie groups and invariant theory October 3, 2012 16:45
11.	Two problems with the same answer: algebra and combinatorics D. I. Panyushev Lie groups and invariant theory April 18, 2012 16:45
12.	Двойственность Фредмана, инварианты конечных групп и перманент таблицы Кэли D. I. Panyushev Lie groups and invariant theory December 9, 2009
13.	О замечательных свойствах частично-упорядоченных множеств, связанных с системами корней D. Panyushev Lie groups and invariant theory September 24, 2008
14.	The argument shift method and maximal commutative subalgebras of Poisson algebras (a joint work with O. Yakimova) D. I. Panyushev Lie groups and invariant theory March 7, 2007
15.	Об инвариантах полупрямых произведений D. I. Panyushev Lie groups and invariant theory September 7, 2005 16:20
16.	О достижимых элементах в полупростых алгебрах Ли D. I. Panyushev Lie groups and invariant theory September 15, 2004 16:20
17.	$\mathrm{ad}$-nilpotent ideals in Borel subalgebras D. I. Panyushev Lie groups and invariant theory March 24, 2004 16:20

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