 Bethe subalgebras in Hecke algebra and Gaudin models (with A.Isaev) Letters in Mathematical Physics, 104, (2014) 179193
Preprint RIMS1775, 2013
 On some combinatorial and algebraic properties of Dunkl elements RIMS Kokyuroku, 1795, 144, Kyoto University, 2012
 On some algebraic and combinatorial properties of Dunkl elements
The Korepin Festschrift, World Scientific (2013), 171198
 On some algebraic and combinatorial properties of Dunkl elements
International Journal of Modern Physics B, 26 (2012),
No. 27n28
 Affine nilHecke algebras and braided differential structure on affine Weyl groups (with T.Maeno)
Publ. RIMS, no. 48 (2012), 215228
 Entanglment in valencebondsolid states on symmetric graphs (with H.Katsura, N.Kawashima, V.Korepin, S.Tanaka)
J. Phys. A 43 (2010), no.255303, 28p.
 NicholsWoronowicz model of coinvariant algebra of complex reflection groups (with T.Maeno)
J. Pure Appl. Algebra
214 (2010), 402409
 Paths and KostkaMacdonald polynomials (with R.Sakamoto)
Moscow Math. Journal
9 (2009), 823854
 Relationships between two approaches: rigged configurations and 10eliminations (with R.Sakamoto)
Lett. Math. Phys.
89 (2009), 5165
 Braided differential structure on Weyl groups, quadratic algebras, and elliptic functions (with T.Maeno)
Int. Math. Res. Not. IMRN
no.14 (2008), 23pp
 Combinatorics and geometry of higher level Weyl modules
Moscow Seminar on Mathematical Physics II,
Amer. Math. Soc. Transl. Ser. 2, 221,
Amer. Math. Soc., Providence, RI, 2007, 3347 (with Feigin B., A.N. Loktev)
Preprint RIMS1495, 2005, 15p.
math.QA/0503315
 Skew divided difference operators and Schubert polynomials
J. Pure Appl. Algebra
SIGMA 3 (2007) 072, 14 pages
Preprint CRM2526, 1997, 15p.;
qalg/9712053
 Wonderful Amoebas (Japanese, with T.Maeno)
Sugaku
58 (2006), 151164, translation in
Sugaku Expositions 22 (2009), 107120
 On some noncommutative algebras related with Ktheory of flag
varieties, I (with T.Maeno)
IRMN 60 (2005), 37533789
Preprint RIMS, 2005, 25p.
math.CO/0504290
 A note on quantization on Nichols algebra model for Schubert
calculus on Weyl groups (with T.Maeno)
Lett. in Math. Phys. 72 (2005) 233241
Preprint RIMS1481, 2004, 8p.
math.QA/0412069
 Hypergeometric generating function of Lfunction, Slater's
identities and Quantum invariant (with K.Hikami)
Algebra i Analiz 17 (2005), no.1, 190208
Preprint RIMS1463, 2004, 18p.
mathph/0406042
 Exterior differential algebras and flat connections on Weyl groups
(with T.Maeno)
Proceedings of the Japan Academy 81 (2005), 3035
Preprint RIMS1469, 2004, 9p.
math.QA/0407291
 An invitation to the generalized saturation conjecture
Publications of RIMS Kyoto University 40 (2004),
11471239
Preprint RIMS1452, 2004, 69p.
math.CO/0404353
 Noncommutative algebras related with Schubert calculus on Coxeter groups
(with T.Maeno)
European Journal of Combinatorics, 25 (2004), 13011325
Preprint RIMS1437, 2003, 23p.
math.CO/0310068
 Torus knot and minimal model (with K.Hikami)
Physics Letters B 575 (2003), 343348
hepth/0308152, 2003, 10p.
 Generalized Umemura polynomials (with M.Taneda)
Rocky Mountain Journal of Mathematics 32 (2002),
no. 2,
math.CO/0010279,
2000, 10p.
 Generalized Umemura polynomials and the HirotaMiwa equations
(with M.Taneda)
MathPhys Odyssey 2001: Integrable Models and Beyond,
in honor of Barry M. McCoy (ed. M.Kashiwara and T.Miwa), 313332,
Progress in Mathematical Physics 23,
Birkhauser, Boston, 2002
math.CO/0106025,
2001, 19p.
 A bijection between LittlewoodRichardson tableaux and rigged
configurations
(with A.Schilling and
M.Shimozono)
Selecta Mathematica 8 (2002), 67135
Preprint Hokkaido University # 441, 1999, 66p.
math.QA/9901037
 A generalization of the KostkaFoulkes polynomials
(with M.Shimozono)
Journal of Algebraic Combinatorics 15 (2002), 2769
math.QA/9803062,
1998, 37p.
 Cauchy identities for universal Schubert polynomials
Zap. Nauch. Sem. POMI 283 (2001), 123139
qalg/9703047,
1997, 16p.
 Introduction to Tropical Combinatorics
Physics and Combinatorics 2000
(Proceedings of the Nagoya 2000 International
Workshop on Physics and Combinatorics, Nagoya University,
August 2126, 2000, ed. A.Kirillov and N.Liskova), 82150,
World Scientific, Singapore, 2001
 Bethe's states for generalized XXX and XXZ
models (with N.A. Liskova)
Physics and Combinatorics 2000
(Proceedings of the Nagoya 2000 International
Workshop on Physics and Combinatorics, Nagoya University,
August 2126, 2000, ed. A.Kirillov and N.Liskova), 151163,
World Scientific, Singapore, 2001
math.QA/0103030
 A remark on the HarishChandra series for hyperboloids
(with
J.F. van Diejen)
Physics and Combinatorics 1999
(Proceedings of the Nagoya 1999 International
Workshop on Physics and Combinatorics, Nagoya University,
August 2327, 1999, ed. A.Kirillov, A.Tsuchiya and H.Umemura), 1115,
World Scientific, Singapore, 2001
 Ubiquity of Kostka polynomials
Physics and Combinatorics 1999
(Proceedings of the Nagoya 1999 International
Workshop on Physics and Combinatorics, Nagoya University,
August 2327, 1999, ed. A.Kirillov, A.Tsuchiya and H.Umemur), 85200,
World Scientific, Singapore, 2001
math.QA/9912094
 Some remarkable quadratic algebras and Schubert Calculus
Proceedings of the 45th Symposium on Algebra,
Kyushu University, August 710, 2000, 142151
 Determinantal formulas for zonal spherical functions of
hyperboloids
(with
J.F. van Diejen)
Mathematische Annalen 319 (2001), no.2, 215234
 Domino tableaux, Schutzenberger involution, and the symmetric
group action (with
A.Berenstein)
Discrete Mathematics, 225 (2000), 1524
 Generalization of the GaleRyser theorem
European Journal of Combinatorics, 21 (2000), 10471055
hepth/9304099
 On some quadratic algebras
L.D. Faddeev's Seminar on Mathematical Physics, 91113,
American Mathematical Society Translations: Series 2 201,
AMS, Providence, RI, 2000
qalg/9705003
 New combinatorial formula for modified HallLittlewood polynomials
qSeries from a Contemporary Perspective (AMSISMSIAM Joint
Summer Research Conference on qseries, Combinatorics, and computer
Algebra; June 2125, 1998, Mount Holyoke, MA, USA), 283333,
Contemporary Mathematics 254, AMS, Providence, RI, 2000
math.QA/9803006
 Combinatorics of Young tableaux and
rigged configurations (Russian)
Proceedings of the St.Petersburg Math. Soc., 7
(1999), 23115; translation in
Proceedings of the St.Petersburg
Math. Soc. volume VII,
Amer. Math. Soc. Transl. Ser.2, 203, 1798, AMS,
Providence, RI, 2001
 Quantum double Schubert polynomials, quantum Schubert polynomials
and VafaIntriligator formula
(with T.Maeno)
Discrete Mathematics 217 (2000), 191224
qalg/9610022
 Formulas for qspherical functions using inverse scattering
theory of reflectionless Jacobi operators
(with
J.F. van Diejen)
Comm. Math. Phys. 210 (2000), 335369
 Bijectives correspondances for rigged
configurations (Russian)
Algebra i Analiz 12 (2000), 204240,
translation in
St.Petersburg Math. J. 12 (2001), no.1, 161190
 On some quadratic algebras: JucysMarphy and Dunkl elements
CalogeroMoserSutherland models,
(Montreal, PQ, March 1015, 1997) CRM Series in Mathematical Physics,
Springer, New York, 2000, 231248
 A combinatorial formula for the associated Legendre functions
of integer degree
(with
J.F. van Diejen)
Advances in Mathematics 149 (2000), 6188
 tDeformations of quantum Schubert polynomials
Funkcialaj Ekvacioj 43 (2000), 5769
math.QA/9802001
 Quantum Schubert polynomials and quantum Schur functions
Intern. Journ. of Algebra and Computation 9 (1999),
385404
qalg/9701005
 Quantum Grothendieck polynomials
Algebraic Methods and qSpecial Functions
(Montreal, PQ, May 1317, 1996)
CRM Proc. Lecture Notes 22,
Amer. Math. Soc., 1999, 215226
qalg/9610034
 qDifference raising operators for Macdonald polynomials
and the integrality of transition coefficients
(with M.Noumi)
Algebraic Methods and qSpecial Functions
(Montreal, PQ, May 1317, 1996)
CRM Proc. Lecture Notes 22,
Amer. Math. Soc., 1999, 227243
qalg/9605005
 On a bijection between LittlewoodRichardson tableaux and rigged configurations
(with A.Schilling and
M.Shimozono)
Proceedings of the 11th International Conference on Formal Power Series
and Algebraic Combinatorics, Barcelona, June 711,
1999, 266274.

Various representations of the generalized Kostka polynomials
(with A.Schilling and
M.Shimozono)
The Andrews Festschrift, Seventeen Papers on Classical
Number Theory and Combinatorics (eds. D.Foata and G.N.Han), 209226,
Springer, 2001
and
Seminaire Lotharingien de Combinatoire 42 (1999), 19pp.
 Character formulae of sl_n modules and inhomogeneous
paths (with G.Hatayama,
A.Kuniba,
M.Okado, T.Takagi and
Y.Yamada)
Nucl. Phys. B 536 (1999), 575616
math.QA/9802085

Quadratic algebras, Dunkl elements,
and Schubert calculus
(with S.Fomin)
Advances in Geometry, 147182,
Progress in Mathematics 172,
Birkhauser, Boston, 1998
 Skew Young diagram method in spectral decomposition of integrable
lattice models II, Higher levels
(with
A.Kuniba and
T.Nakanishi)
Nucl. Phys. B 529 (1998), 611638
qalg/9711009
 Domino tableaux, Schutzenberger involution and action of the
symmetric group
(with
A.Berenstein)
Proceedings of the 10th International Conference on Formal Power Series
and Algebraic Combinatorics, Fields Institute, Toronto,
1998, 5566.
qalg/9709010

Affine Hecke algebras and raising operators for Macdonald
polynomials (with
M.Noumi)
Duke Math. Journ. 93 (1998), no.1, 141.
qalg/9605004

Quantum double Schubert polynomials, quantum Schubert polynomials
and VafaIntriligator formula (with T.Maeno)
Proceedings of the 9th International Conference on Formal Power
Series and Algebraic Combinatorics,
Wien, July 14July 18, 1997, 301312.

Skew Young diagram method in spectral decomposition of integrable
lattice models
(with A.Kuniba and
T.Nakanishi)
Comm. Math. Phys. 185 (1997), no.2, 441465.
qalg/9607027

Completeness of Bethe's states for generalized XXZ model
(with N.A.Liskova)
J. Phys. A 30 (1997), no.4, 12091226.
hepth/9407107

Reduced words and plane partitions
(with S.Fomin)
Journal of Algebraic Combinatorics 6 (1997), 311319.

Combinatorial $B_n$analogues of Schubert polynomials
(with S.Fomin)
Transactions of the AMS 348 (1996), 35913620.
 The YangBaxter equation, symmetric
functions, and Schubert polynomials
(with S.Fomin)
Discrete Mathematics 153 (1996), 123143.

Universal exponential solution of the YangBaxter equation
(with S.Fomin)
Lett. in Math. Phys. 37 (1996), 273284.

Dilogarithm identities
Progress of Theor. Phys. Suppl. 118 (1995), 61142.
 Dilogarithm identities
Lectures in Mathematical Sciences the University of Tokyo,
7 (1995), 96p.

Group generated by involutions, GelfandTsetlin patterns and
combinatorics of Young tableaux
(with
A.Berenstein)
Algebra i Analiz 7 (1995), no.1, 92152, translation in
St.Petersburg Math. J. 7 (1996), no.1, 77127.
 Séries génératrices pour les tableaux de dominos
(French, with
A.Lascoux,
B.Leclerc and
J.Y.Thibon)
C.R. Acad. Sci. Paris Ser. I 318 (1994), no.5, 395400.

Grothendieck polynomials and the YangBaxter equation
(with S.Fomin)
Proceedings of the 6th International Conference on Formal Power
Series and Algebraic Combinatorics, DIMACS, 1994, 183190.

Dilogarithm identities, partitions and spectra in conformal field
theory, Part I
Algebra i Analiz 6 (1994), no.2, 152175.
 Formulae for the multiplicites of the occurrence of irreducible
components in the tensor product of representations of simple Lie
algebras (Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 205 (1993), 3037, translation in
Journal of Mathematical Sciences 80, no.3 (1996),
17681772

BerensteinZelevinski triangles, elementary couplings and fusion
rules
(with
P.Mathieu, L.Bégin, M.A.Walton)
Lett. in Math. Phys. 28 (1993), no.4, 257268.
 The YangBaxter equation, symmetric functions and Schubert
polynomials (with
S.Fomin)
Proceedings of the 5th International Conference on Formal Power
Series and Algebraic Combinatorics,
Firenze, June 2125, 1993, 215230.
 Can fusion coefficients be calculated from the depth rule ?
(with
P.Mathieu, D.Sénéchal, M.A.Walton)
Nucl. Phys. B 391 (1993), no.3, 651674.
 Dilogarithm identities and spectra in
conformal field theory
Lowdimensional Topology and Quantum Field Theory (Cambridge,
1992) 99108, NATO Adv. Sci. Inst. Ser. B Phys., 315, Plenum,
New York, 1993.

Crystallizing the depth rule for WZNW fusion coefficients
(with
P.Mathieu, D.Sénéchal, M.A.Walton)
Proceedings of the XIXth International Colloquium on Group
Theoretical Physics, Salamanca, Spain, 1992.

Unimodality of generalized Gaussian coefficients
C.R. Acad. Sci. Paris Ser. I 315 (1992), no.5, 497501.

Combinatorics of rational representations of the group
GL(n,C)
(Russian, with
S.V.Kerov)
Zap. Nauch. Sem. LOMI 200 (1992), 8393, translation in
Journal
of Mathematical Sciences 77, no.3 (1995), 31903194

ClebschGordan and RacahWigner coefficients for $U_q(SU(1,1))$
(with N.A.Liskova)
Int. Jour. Mod. Phys. A 7 (1992), 611621.

Decomposition of symmetric and exterior powers of the adjoint
representation of $\hbox{\germ g}l(N)$. 1. Unimodality of principal
specialization of the internal product of the Schur functions
Int. Jour. Mod. Phys. A 7 (1992), 545579.
 On some properties of the RobinsonSchensted correspondence
Proceedings of Hayashibara conference on special functions,
1990, 122126.
 Representation of quantum groups, combinatorics, qorthogonal
polynomials and link invariants
(Russian)
Second Ph.D thesises, LOMI, Leningrad, 1990, 300p.
 qWeyl group and a multiplicative formula for universal
Rmatrices (with
N.Yu.Reshetikhin)
Comm. Math. Phys. 134 (1990), 316325.

The resonating valence bond in quasicristals
(Russian, with
V.E.Korepin)
Algebra i Analiz 1 (1989), 4776, translation in
Leningrad Math. J. 1 (1990), n.2, 343377.
 The Lagrange identity and the hook formula
(Russian)
Zap. Nauch. Sem. LOMI 172 (1989), 7887, translation in
Journal of Soviet Math. 59 (1992), 10781084.
 Representations of the algebra $U_q(sl(2))$, qorthogonal
polynomials and invariants of links (with
N.Yu.Reshetikhin)
Adv. Series in Math. Phys. 7 (1989), 285339.
 On the KostkaGreenFoulkes polynomials and ClebschGordan
numbers
Journ. Geom. and Phys. 5 (1988), 365389.
 Multiplicity of weight in irreducible tensor representations of
a complete linear syperalgebra (Russian, with
N.Yu.Reshetikhin)
Funct. Anal. and Applicat. 22 (1988), no.4, 8485.
 Formfactors in O(3) nonlinear $\sigma$model
(with
F.A.Smirnov)
Int. Jour. Mod. Phys. A 3 (1988), no.3, 731741.
 ClebschGordan quantum coefficients
(Russian)
Zap. Nauch. Sem. LOMI 168 (1988), 6784,
translation in
Journal of Soviet Math. 53 (1991),
264276.
 Identities for the Rogers dilogarithmic function connected with
simple Lie algebras
(Russian)
Zap. Nauch. Sem. LOMI 164 (1987), 121133,
translation in
Journal of Soviet Math. 47 (1989), 24502458.
 Formulas for formfactors in the quantum sinhGordon model
(Russian)
Zap. Nauch. Sem. LOMI 164 (1987), 5466,
translation in
Journal of Soviet Math. 47 (1989), 24032412.
 Solution of some combinatorial problems arising in the calculation
of correlators in exactly solvable models
(Russian, with
F.A.Smirnov)
Zap. Nauch. Sem. LOMI 164 (1987), 6779,
translation in
Journal of Soviet Math. 47 (1989), 24132422.
 Formfactors in the SU(2)invariant Thirring model
(Russian, with
F.A.Smirnov)
Zap. Nauch. Sem. LOMI 164 (1987), 80120,
translation in
Journal of Soviet Math. 47 (1989), 24232449.
 A representation of the current algebra connected with
SU(2)invariant Thirring model
(with
F.A.Smirnov)
Phys. Lett. B 198 (1987), no.4, 506510.
 The Bethe ansatz and the combinatorics of Young tableaux
(Russian)
Ph.D thesises, LOMI, Leningrad, 1987, 210p.
 Exact solution of the integrable XXZ Heisenberg model with
arbitrary spin, I
(with
N.Yu.Reshetikhin)
J. Phys. A 20 (1987), 15651586.
 Exact solution of the integrable XXZ Heisenberg model with
arbitrary spin, II
(with
N.Yu.Reshetikhin)
J. Phys. A 20 (1987), 15871597.
 Quantum inhomogeneous XXZ magnet and nonlinear
$\sigma$models (with
N.Yu.Reshetikhin)
Proceedings of ParisMeudon Colloquium, Paris, 1987,
235257.
 Representation of Yangians and multiplicities of the inclusion
of the irreducible components of the tensor product of representations
of simple Lie algebras (Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 160 (1987), 211221,
translation in
Journal of Soviet Math. 52 (1990), 31563164.
 Some generalization of the AbjankarMoh theorem
(Russisn)
Proceedings of Algebraic Conference, L'vov, 1987, part 1,
p.131.
 The Yangians, Bethe ansatz and combinatorics (with
N.Yu.Reshetikhin)
Lett. in Math. Phys. 12 (1986), 199208.
 Combinatorics, the Bethe ansatz and representations of the symmetric
group (Russian, with
S.V.Kerov and
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 155 (1986), 5064,
translation in
Journal of Soviet Math. 41 (1988), 916924.
 The Bethe ansatz and the combinatorics of Young tableaux
(Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 155 (1986), 65115,
translation in
Journal of Soviet Math. 41 (1988), 925955.
 Tinvariance, CPTinvariants and local commutativity
of the quantum $(ch\varphi)_2$ model
(Russian)
Zap. Nauch. Sem. LOMI 146 (1985), 919,
translation in
Journal of Soviet Math. 40 (1988), 612.
 Norms of bound states
(Russian, with
V.E.Korepin)
Zap. Nauch. Sem. LOMI 146 (1985), 2030,
translation in
Journal of Soviet Math. 40 (1988), 1321.
 Classification of the string solutions of Bethe equations in the
XXZmodel of arbitrary spin (Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 146 (1985), 3146, translation in
Journal of Soviet Math. 40 (1988), 2234.
 Properties of kernels of integral equations in the XXZmodel
of arbitrary spin
(Russian, with
N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 146 (1985), 4791, translation in
Journal of Soviet Math. 40 (1988), 3571.
 Exact solution of XXZHeisenberg model of the higher spin
(Russian)
Zap. Nauch. Sem. LOMI 145 (1985), 109133,
translation in
Journal of Soviet Math. 35 (1986), 26272643.
 Completeness of states of the generalized Heisenberg magnet
(Russian)
Zap. Nauch. Sem. LOMI 134 (1985), 169189,
translation in
Journal of Soviet Math. 36 (1987), 115128.
 Norm pairing in a twodimensional local field
(Russian, with
S.V.Vostokov)
Zap. Nauch. Sem. LOMI 132 (1983), 7684,
translation in
Journal of Soviet Math. 30 (1985), 18471853.
 Combinatorial identities and completeness of states for the
Heisenberg magnet
(Russian)
Zap. Nauch. Sem. LOMI 131 (1983), 88105,
translation in
Journal of Soviet Math. 30 (1985), 22983310.
 Mixed Hodge structure of the isolated singularity of the
hypersuface
Shot Communications, ICM82, Warszawa, 1982, sec.6, p.34.
 Milnor's number of isolated singularity of complete intersection
(Russian)
Proceedings of Algebraic conference, Leningrad, 1981,
part 1, p.97.
 The Zeta function of the monodromy of a singular point of complete
intersection
(Russian)
Zap. Nauch. Sem. LOMI 112 (1981), 112119,
translation in
Journal of Soviet Math. 25 (1984), 10511056.
 Formula for calculating the integer cohomology of the link of
an isolated hypersurface singularity
(Russian)
Zap. Nauch. Sem. LOMI 100 (1980), 106112,
translation in
Journal of Soviet Math. 19 (1982), 16951699.
 Convex polytops and formal groups
(Russian)
Zap. Nauch. Sem. LOMI 75 (1978), 8790,
translation in
Journal of Soviet Math. 37 (1987), 974976.
 Classification of the formal Omodules
(Russian)
Proceedings of Algebraic conference, Krasnoyarsk, 1977, p.76.
 Commutative formal groups
(Russian)
Zap. Nauch. Sem. LOMI 57 (1976), 117124,
translation in
Journal of Soviet Math. 11 (1979), 613619.
 Lutz filtration of formal groups
(Russian, with
M.I.Bashmakov)
Izv. Acad. of Scien. USSR 139 (1975), no.6, 12271239.
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