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RSOS models and Jantzen-Seitz representations of Hecke algeb(10)

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Hecke algebras at roots of unity.

References

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nd M. Okado, Combinatorics of representations of Uq (sl(n)) at q= 0, Commun. Math. Phys. 136 (1991), 543{566. 16] M. Jimbo, T. Miwa and M. Okado, Solvable lattice models whose states are dominant integral weights of A(1) 1 Lett. Math. Phys. 14 (1987) 123{131. n? 17] M. Kashiwara, On crystal bases of the q-analogue of universal enveloping algebras, Duke Math. J. 63 (1991), 465{516. 18] M. Kashiwara, Global crystal bases of quantum groups, Duke Math. J. 69 (1993), 455{485. 19] M. Kashiwara, T. Miwa and E. Stern, Decomposition of q-deformed Fock spaces, Selecta Mathematica 1996. 20] A.S. Kleshchev, On restrictions of irreducible modular representations of semisimple algebraic groups and symmetric groups to natural subgroups I, Proc. London Math. Soc. 69 (1994), 515-540. 21] A.S. Kleshchev, Branching rules for the modular representations of symmetric groups III; some corollaries and a problem of Mullineux, J. London Math. Soc. 2 (1995). 22] A. Lascoux, B. Leclerc and J.-Y. Thibon, Hecke algebras at roots of unity and crystal bases of quantum a ne algebras, Commun. Math. Phys. 181 (1996), 205-263. b 23] K.C. Misra and T. Miwa, Crystal base of the basic representation of Uq (sln ), Commun. Math. Phys. 134 (1990), 79{88. 24] E. Stern, Semi-in nite wedges and vertex operators, Internat. Math. Res. Notices 1995, 201220. 25] Ch. Bessenrodt and J. Olsson, Residue symbols and Jantzen-Seitz partitions, to appear.

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