# Papers on Representation theory by Anatol N. Kirillov

1. A bijection between Littlewood-Richardson tableaux and rigged configurations (with A.Schilling and M.Shimozono)
Preprint Hokkaido University # 441, 1999, 66p.
math.QA/9901037

2. 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), 209-226, Springer, 2001
and Seminaire Lotharingien de Combinatoire 42 (1999), 19pp.

3. Combinatorics of Young tableaux and rigged configurations (Russian)
Proceedings of the St.Petersburg Math. Soc., 7 (1999), 23-115

4. A generalization of the Kostka-Foulkes polynomials (with M.Shimozono)
math.QA/9803062, 1998, 37p.

5. New combinatorial formula for modified Hall-Littlewood polynomials
q-Series from a Contemporary Perspective (AMS-ISM-SIAM Joint Summer Research Conference on q-series, Combinatorics, and computer Algebra; June 21-25, 1998, Mount Holyoke, MA, USA), 283-333,
Contemporary Mathematics 254, AMS, Providence, 2000
math.QA/9803006

6. On some quadratic algebras: Jucys-Marphy and Dunkl elements
Calogero-Moser-Sutherland models, (Montreal, PQ, March 10-15, 1997) CRM Series in Mathematical Physics, Springer, New York, 2000, 231-248

7. q-Difference raising operators for Macdonald polynomials and the integrality of transition coefficients (with M.Noumi)
Algebraic Methods and q-Special Functions, (Montreal, PQ, May 13-17, 1996) CRM Proc. Lecture Notes 22, Amer. Math. Soc., 1999, 227-243
q-alg/9605005

8. 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), 575-616
math.QA/9802085

9. 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), 611-638
q-alg/9711009

10. Affine Hecke algebras and raising operators for Macdonald polynomials (with M.Noumi)
Duke Math. Journ. 93 (1998), no.1, 1-41

11. Skew Young diagram method in spectral decomposition of integrable lattice models
(with A.Kuniba and T.Nakanishi)
Comm. Math. Phys. 185 (1997), no.2, 441-465.

12. Yang-Baxter equation, symmetric functions and Grothendieck polynomials (with S.Fomin)
Preprint PAR-LPTHE 93/32, 1993, 25p.;
hep-th/93060005

13. 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), 30-37.

14. Fusion algebra and Verlinde formula
Preprint IN-92019, 1992, 9p.;
hep-th/9212084

15. Combinatorics of rational representations of the group GL(n,C) (Russian, with S.V.Kerov)
Zap. Nauch. Sem. LOMI 200 (1992), 83-93.

16. 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. 7 (1992), 545-579.

17. Representation of quantum groups, combinatorics, q-orthogonal polynomials and link invariants (Russian)
Second Ph.D thesises, LOMI, Leningrad, 1990, 300p.

18. q-Weyl group and a multiplicative formula for universal R-matrices (with N.Yu.Reshetikhin)
Comm. Math. Phys. 134 (1990), 316-325.

19. Representations of the algebra $U_q(sl(2))$, q-orthogonal polynomials and invariants of links (with N.Yu.Reshetikhin)
Adv. Series in Math. Phys. 7 (1989), 285-339.

20. 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, 84-85.

21. A representation of the current algebra connected with SU(2)-invariant Thirring model
(with F.A.Smirnov)
Phys. Lett. B 198 (1987), no.4, 506-510.

22. Representation of Yangians and multiplicities of the inclusion of the irreducible components of the tensor product of representations of simple Lie algerras (Russian, with N.Yu.Reshetikhin)
Zap. Nauch. Sem. LOMI 160 (1987), 211-221, translation in Journal of Soviet Math. 52 (1990), 3156-3164.

23. The Yangians, Bethe ansatz and combinatorics (with N.Yu.Reshetikhin)
Lett. in Math. Phys. 12 (1986), 199-208.

24. 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), 50-64, translation in Journal of Soviet Math. 41 (1988), 916-924.

25. Completeness of states of the generalized Heisenberg magnet (Russian)
Zap. Nauch. Sem. LOMI 134 (1985), 169-189, translation in Journal of Soviet Math. 36 (1987), 115-128.