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Kirillov, Anatolii Nikolaevich
Statistics Math-Net.Ru
Total publications: 37
Scientific articles: 37
Presentations: 2

Number of views:
This page:3253
Abstract pages:8787
Full texts:4432
References:481
E-mail:
Website: http://www.kurims.kyoto-u.ac.jp/~kirillov/

https://www.mathnet.ru/eng/person25500
List of publications on Google Scholar
https://zbmath.org/authors/ai:kirillov.anatol-n
https://mathscinet.ams.org/mathscinet/MRAuthorID/195202

Publications in Math-Net.Ru Citations
2016
1. Anatol N. Kirillov, “Notes on Schubert, Grothendieck and Key Polynomials”, SIGMA, 12 (2016), 034, 56 pp.  mathnet  isi  scopus 15
2. Anatol N. Kirillov, “On Some Quadratic Algebras I $\frac{1}{2}$: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss–Catalan, Universal Tutte and Reduced Polynomials”, SIGMA, 12 (2016), 002, 172 pp.  mathnet  isi  scopus 12
2015
3. Anatol N. Kirillov, Reiho Sakamoto, “Some remarks on Nepomechie–Wang eigenstates for spin 1/2 XXX model”, Mosc. Math. J., 15:2 (2015),  337–352  mathnet  mathscinet  isi 4
2010
4. A. N. Kirillov, T. Maeno, “Extended quadratic algebra and a model of the equivariant cohomology ring of flag varieties”, Algebra i Analiz, 22:3 (2010),  155–176  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:3 (2011), 447–462  isi  scopus 3
2009
5. Anatol N. Kirillov, Reiho Sakamoto, “Paths and Kostka–Macdonald polynomials”, Mosc. Math. J., 9:4 (2009),  823–854  mathnet  mathscinet  zmath  isi
2007
6. Anatol N. Kirillov, “Skew Divided Difference Operators and Schubert Polynomials”, SIGMA, 3 (2007), 072, 14 pp.  mathnet  mathscinet  zmath  isi  scopus 4
2005
7. K. Hikami, A. N. Kirillov, “Hypergeometric generating function of $L$-function, Slater's identities, and quantum invariant”, Algebra i Analiz, 17:1 (2005),  190–208  mathnet  mathscinet  zmath; St. Petersburg Math. J., 17:1 (2006), 143–156 7
2001
8. A. N. Kirillov, “Cauchy identities for universal Schubert polynomials”, Zap. Nauchn. Sem. POMI, 283 (2001),  123–139  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:3 (2004), 2360–2370 3
2000
9. A. N. Kirillov, “Bijective correspondences for rigged configurations”, Algebra i Analiz, 12:1 (2000),  204–240  mathnet  mathscinet  zmath; St. Petersburg Math. J., 12:1 (2001), 161–190 8
1995
10. A. N. Kirillov, A. D. Berenstein, “Groups generated by involutions, Gelfand–Tsetlin patterns, and combinatorics of Young tableaux”, Algebra i Analiz, 7:1 (1995),  92–152  mathnet  mathscinet  zmath; St. Petersburg Math. J., 7:1 (1996), 77–127 30
1994
11. A. N. Kirillov, “Dilogarithm identities, partitions, and spectra in conformal field theory”, Algebra i Analiz, 6:2 (1994),  152–175  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:2 (1995), 327–348 1
1993
12. A. N. Kirillov, N. Yu. Reshetikhin, “Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras”, Zap. Nauchn. Sem. POMI, 205 (1993),  30–37  mathnet  mathscinet  zmath; J. Math. Sci., 80:3 (1996), 1768–1772 9
1992
13. S. V. Kerov, A. N. Kirillov, “On the combinatorics of rational representations of the group $GL(n,\mathbb{C})$”, Zap. Nauchn. Sem. POMI, 200 (1992),  83–90  mathnet  mathscinet  zmath; J. Math. Sci., 77:3 (1995), 3190–3194 1
1989
14. A. N. Kirillov, V. E. Korepin, “A resonance valence bond in quasicrystals”, Algebra i Analiz, 1:2 (1989),  47–76  mathnet  mathscinet  zmath; Leningrad Math. J., 1:2 (1990), 343–377
15. A. N. Kirillov, “Lagrange identity and the hooks formula”, Zap. Nauchn. Sem. LOMI, 172 (1989),  78–87  mathnet  mathscinet  zmath; J. Soviet Math., 59:5 (1992), 1078–1084 7
1988
16. A. N. Kirillov, N. Yu. Reshetikhin, “Multiplicity of weights in irreducibile tensor representations of a complete linear superalgebra”, Funktsional. Anal. i Prilozhen., 22:4 (1988),  84–85  mathnet  mathscinet  zmath; Funct. Anal. Appl., 22:4 (1988), 328–330  isi
17. A. N. Kirillov, “The quantum Clebsch-Gordan coefficients”, Zap. Nauchn. Sem. LOMI, 168 (1988),  67–84  mathnet  zmath
1987
18. A. N. Kirillov, “Identities for the Rogers dilogarithm function connected with simple Lie algebras”, Zap. Nauchn. Sem. LOMI, 164 (1987),  121–133  mathnet  zmath
19. A. N. Kirillov, F. A. Smirnov, “Form-factors in the $SU(2)$-invariant Thirring model”, Zap. Nauchn. Sem. LOMI, 164 (1987),  80–120  mathnet  zmath
20. A. N. Kirillov, F. A. Smirnov, “Solution of some combinatorial problems which arise in calculating correlators in exactly solvable models”, Zap. Nauchn. Sem. LOMI, 164 (1987),  67–79  mathnet  zmath 4
21. A. N. Kirillov, “Formulae for form factors in the quantum Sh-Gordon model”, Zap. Nauchn. Sem. LOMI, 164 (1987),  54–66  mathnet  zmath
22. A. N. Kirillov, N. Yu. Reshetikhin, “Representation of Yangians and multiplicities of occurrence of irreducible components of the tensor product of simple algebras”, Zap. Nauchn. Sem. LOMI, 160 (1987),  211–221  mathnet  zmath 3
1986
23. A. N. Kirillov, N. Yu. Reshetikhin, “Bethe ansatz and combinatorics of Young tableaux”, Zap. Nauchn. Sem. LOMI, 155 (1986),  65–115  mathnet  zmath; J. Soviet Math., 41:2 (1988), 925–955 92
24. S. V. Kerov, A. N. Kirillov, N. Yu. Reshetikhin, “Combinatorics Bethe ansats and representations of symmetric group”, Zap. Nauchn. Sem. LOMI, 155 (1986),  50–64  mathnet  zmath; J. Soviet Math., 41:2 (1988), 916–924 58
1985
25. A. N. Kirillov, N. Yu. Reshetikhin, “On the properties of integral kernels for the $XXZ$–model of arbitrary spin”, Zap. Nauchn. Sem. LOMI, 146 (1985),  47–91  mathnet  mathscinet  zmath
26. A. N. Kirillov, N. Yu. Reshetikhin, “A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin”, Zap. Nauchn. Sem. LOMI, 146 (1985),  31–46  mathnet  mathscinet  zmath
27. A. N. Kirillov, V. E. Korepin, “Norm of bound states”, Zap. Nauchn. Sem. LOMI, 146 (1985),  20–30  mathnet  mathscinet 1
28. A. N. Kirillov, “On $T$–invariance, $CPT$–invariance and local commutativity for the quantum $(ch\varphi)_2$ model”, Zap. Nauchn. Sem. LOMI, 146 (1985),  9–19  mathnet  mathscinet  zmath
29. A. N. Kirillov, N. Yu. Reshetikhin, “Exact solution of the $XXZ$ Heisenberg model of spin $S$”, Zap. Nauchn. Sem. LOMI, 145 (1985),  109–133  mathnet  mathscinet  zmath 1
1984
30. A. N. Kirillov, “The completeness of eigenstates of the generalised Heisenberg magnet”, Zap. Nauchn. Sem. LOMI, 134 (1984),  169–189  mathnet  mathscinet  zmath 2
1983
31. S. V. Vostokov, A. N. Kirillov, “Horm pairing in the two-dimensional local field”, Zap. Nauchn. Sem. LOMI, 132 (1983),  76–84  mathnet  mathscinet  zmath 1
32. A. N. Kirillov, “On certain combinatorial identities and completeness of eigenstates of the Heisenberg magnet”, Zap. Nauchn. Sem. LOMI, 131 (1983),  88–105  mathnet  mathscinet 3
1981
33. A. N. Kirillov, “Zeta-function of the monodromy for complete intersection singularities”, Zap. Nauchn. Sem. LOMI, 112 (1981),  112–120  mathnet  mathscinet  zmath; J. Soviet Math., 25:2 (1984), 1051–1057 4
1980
34. A. N. Kirillov, “Formula for computation of integral cohomology of algebraic knot related with isolated singularity of the hypersurface”, Zap. Nauchn. Sem. LOMI, 100 (1980),  106–112  mathnet  mathscinet  zmath; J. Soviet Math., 19:6 (1982), 1695–1699
1978
35. A. N. Kirillov, “Convex polytopes and formal groups”, Zap. Nauchn. Sem. LOMI, 75 (1978),  87–90  mathnet  mathscinet  zmath; J. Soviet Math., 37:2 (1987), 974–976
1976
36. A. N. Kirillov, “Commutative formal groups”, Zap. Nauchn. Sem. LOMI, 57 (1976),  117–124  mathnet  mathscinet  zmath; J. Soviet Math., 11:4 (1979), 613–619 1
1975
37. M. I. Bashmakov, A. N. Kirillov, “Lutz filtration of formal groups”, Izv. Akad. Nauk SSSR Ser. Mat., 39:6 (1975),  1227–1239  mathnet  mathscinet  zmath; Math. USSR-Izv., 9:6 (1975), 1155–1167 4

Presentations in Math-Net.Ru
1. Universal Dunkl operators: Algebra, Combinatorics, Graph Theory, Integrable Systems and LDT
A. N. Kirillov
Automorphic forms and their applications
May 23, 2017 18:00
2. On “a small” GRAND UNIFICATION
A. N. Kirillov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
October 5, 2011 18:30

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