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Panov, Alexander Nikolaevich

Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 30
Presentations: 4

Number of views:
This page:1769
Abstract pages:9116
Full texts:2985
References:1099
Professor
Doctor of physico-mathematical sciences (2004)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 26.09.1952
E-mail:
Keywords: representation of group, noncommutative geometry Poisson algebra, quantum group,
UDC: 512.554.3, 512.81, 512.812, 512.66, 512.554, 512.6, 512.5, 512.54, 512.8
MSC: 17B10, 17B37, 17B63

Subject:

Representations of Lie groups amd Lie algebras, theory of rings and modules, theory of invariants, quantum groups,

   
Main publications:
  • Panov A. N. Fields of fractions of quantum solvable algebras // J. Algebra, 2001, 236, 110–121.
  • Panov A. N. Stratification of prime spectrum of quantum solvable algebra // Comm. Algebra, 2001, 29(9), 3801–3827.

https://www.mathnet.ru/eng/person8443
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru Citations
2021
1. A. N. Panov, “Supercharacters for parabolic contractions of finite groups of $ A,B,C,D$ Lie types”, Algebra i Analiz, 33:6 (2021),  121–140  mathnet; St. Petersburg Math. J., 33:6 (2022), 981–994
2020
2. A. N. Panov, “Supercharacter theory for the borel contraction of the group $Gl(n, F_q)$”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:2 (2020),  254–268  mathnet; Vestn. St. Petersbg. Univ., Math., 7:2 (2020), 162–173 1
2018
3. A. N. Panov, “New supercharacter theory for Sylow subgroups in orthogonal and symplectic groups”, Zap. Nauchn. Sem. POMI, 470 (2018),  162–178  mathnet; J. Math. Sci. (N. Y.), 243:4 (2019), 612–623  scopus
2017
4. A. N. Panov, “Supercharacters of unipotent and solvable groups”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 136 (2017),  31–55  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 235:6 (2018), 714–739 3
5. A. N. Panov, “Restriction and induction for supercharacters of finite groups of triangular type”, Mat. Sb., 208:7 (2017),  68–83  mathnet  mathscinet  elib; Sb. Math., 208:7 (2017), 977–991  isi  scopus 1
2016
6. K. A. Vyatkina, A. N. Panov, “$U$-projectors and fields of $U$-invariants”, Fundam. Prikl. Mat., 21:2 (2016),  133–144  mathnet; J. Math. Sci., 237:2 (2019), 245–253 1
2015
7. A. N. Panov, “Supercharacter theory for groups of invertible elements of reduced algebras”, Algebra i Analiz, 27:6 (2015),  242–259  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:6 (2016), 1035–1047  isi  scopus 7
8. A. N. Panov, “Old and new in the supercharacter theory of finite groups”, Chebyshevskii Sb., 16:4 (2015),  227–249  mathnet  elib 1
2013
9. A. N. Panov, “Representations of Gelfand–Graev type for the unitriangular group”, Fundam. Prikl. Mat., 18:3 (2013),  161–178  mathnet  mathscinet; J. Math. Sci., 206:5 (2015), 570–582  scopus
10. K. A. Vyatkina, A. N. Panov, “The Field of $U$-Invariants of the Adjoint Representation of the Group $\mathrm{GL}(n,K)$”, Mat. Zametki, 93:1 (2013),  144–147  mathnet  mathscinet  zmath  elib; Math. Notes, 93:1 (2013), 187–190  isi  elib  scopus 3
11. A. N. Panov, E. V. Suray, “Subregular characters of the group $\mathrm{UT}(n,\mathbb R)$”, Zap. Nauchn. Sem. POMI, 414 (2013),  138–155  mathnet; J. Math. Sci. (N. Y.), 199:3 (2014), 319–328  scopus
12. A. N. Panov, “The orbit method for unipotent groups over finite field”, Zap. Nauchn. Sem. POMI, 414 (2013),  127–137  mathnet; J. Math. Sci. (N. Y.), 199:3 (2014), 313–318  scopus 2
2012
13. A. N. Panov, “Representations of filtered solvable Lie algebras”, Mat. Sb., 203:1 (2012),  77–90  mathnet  mathscinet  zmath  elib; Sb. Math., 203:1 (2012), 75–87  isi  scopus
2011
14. D. Yu. Eliseev, A. N. Panov, “Tangent cones of Schubert varieties for $A_n$ of lower rank”, Zap. Nauchn. Sem. POMI, 394 (2011),  218–225  mathnet  mathscinet; J. Math. Sci. (N. Y.), 188:5 (2013), 596–600  scopus 6
2010
15. A. N. Panov, “Invariants of coadjoint representations of regular factors”, Algebra i Analiz, 22:3 (2010),  222–247  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:3 (2011), 497–514  isi  scopus 1
16. A. N. Panov, “Reduction of spherical functions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 6(80),  54–68  mathnet
2007
17. M. V. Ignat'ev, A. N. Panov, “Coadjoint orbits of the group $\operatorname{UT}(7,K)$”, Fundam. Prikl. Mat., 13:5 (2007),  127–159  mathnet  mathscinet  elib; J. Math. Sci., 156:2 (2009), 292–312  elib  scopus 6
18. A. N. Panov, “Involutions in $S_n$ and associated coadjoint orbits”, Zap. Nauchn. Sem. POMI, 349 (2007),  150–173  mathnet  elib; J. Math. Sci. (N. Y.), 151:3 (2008), 3018–3031  elib  scopus 14
2005
19. A. N. Panov, “Representations of quantum orders”, Fundam. Prikl. Mat., 11:2 (2005),  157–167  mathnet  mathscinet  zmath; J. Math. Sci., 142:2 (2007), 1969–1976  scopus
2004
20. Ch. K. Gupta, A. N. Panov, “Irreducible representations of quantum $3\times3$ matrices”, Sibirsk. Mat. Zh., 45:2 (2004),  303–318  mathnet  mathscinet  zmath; Siberian Math. J., 45:2 (2004), 248–260  isi
2003
21. A. N. Panov, “Irreducible representations of quantum solvable algebras at roots of 1”, Algebra i Analiz, 15:4 (2003),  204–235  mathnet  mathscinet  zmath; St. Petersburg Math. J., 15:4 (2004), 603–623 1
22. A. N. Panov, “Ore Extensions of Hopf Algebras”, Mat. Zametki, 74:3 (2003),  425–434  mathnet  mathscinet  zmath; Math. Notes, 74:3 (2003), 401–410  isi  scopus 29
2001
23. A. N. Panov, “Quantum Algebraic Tori”, Mat. Zametki, 69:4 (2001),  591–599  mathnet  mathscinet  zmath; Math. Notes, 69:4 (2001), 537–545  isi 1
1996
24. V. G. Mosin, A. N. Panov, “Division rings of quotients and central elements of multiparameter quantizations”, Mat. Sb., 187:6 (1996),  53–72  mathnet  mathscinet  zmath; Sb. Math., 187:6 (1996), 835–855  isi  scopus 9
1995
25. A. N. Panov, “Skew fields of twisted rational functions and the skew field of rational functions on $GL_q(n,K)$”, Algebra i Analiz, 7:1 (1995),  153–169  mathnet  mathscinet  zmath; St. Petersburg Math. J., 7:1 (1996), 129–143 14
1994
26. A. N. Panov, “The Skew Field of Rational Functions on $GL_q(n,K)$”, Funktsional. Anal. i Prilozhen., 28:2 (1994),  75–77  mathnet  mathscinet  zmath; Funct. Anal. Appl., 28:2 (1994), 134–136  isi 4
1991
27. A. N. Panov, “Maximal orders in Lie algebras over the field $k((t))$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 10,  50–55  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:11 (1991), 45–50
1989
28. A. N. Panov, “Irreducible representations of maximal dimension of simple Lie algrbras over a field of positive characteristic”, Funktsional. Anal. i Prilozhen., 23:3 (1989),  80–81  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:3 (1989), 240–241  isi 2
1985
29. A. N. Panov, “Irreducible representations of the Lie algebra $\mathrm{sl}(n)$ over a field of positive characteristic”, Mat. Sb. (N.S.), 128(170):1(9) (1985),  21–34  mathnet  mathscinet  zmath; Math. USSR-Sb., 56:1 (1987), 19–32 4
1980
30. A. N. Panov, “The Dixmier map”, Funktsional. Anal. i Prilozhen., 14:1 (1980),  79–80  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:1 (1980), 65–66

2014
31. N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov, V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Uspekhi Mat. Nauk, 69:4(418) (2014),  177–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:4 (2014), 753–754  isi

Presentations in Math-Net.Ru
1. Generators of invariant fields for unipotent groups
A. N. Panov
Lie groups and invariant theory
March 30, 2022 17:00   
2. Представления параболических подгрупп
A. N. Panov
VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
January 30, 2020 11:00
3. Towards a supercharacter theory for parabolic subgroups
A. Panov
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 15, 2017 16:50   
4. Алгебра Хопфа суперхарактеров треугольной группы
A. N. Panov
VI Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
January 30, 2017 15:50

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