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math.QA1998
Ribbon tableaux and q-analogues of fusion rules in WZW conformal field theories
O. Foda, B. Leclerc, M. Okado +1
Starting from known -analogues of ordinary SU(n) tensor products multiplicities, we introduce -analogues of the fusion coefficients of the WZW conformal field theories associ…
math.QA1998
Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials
Bernard Leclerc, Jean-Yves Thibon
We show that the Littlewood-Richardson coefficients are values at 1 of certain parabolic Kazhdan-Lusztig polynomials for affine symmetric groups. These q-analogues of Littlewood-Ri…
math.QA1998
Zelevinsky's involution at roots of unity
B. Leclerc, J. -Y. Thibon, E. Vasserot
We give a combinatorial algorithm for computing Zelevinsky's involution of the set of isomorphism classes of irreducible representations of the affine Hecke algebra $\H_m(t)$ when…