25 citations · 76 across the 5 of their papers we have counts for
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Induced representations of affine Hecke algebras and canonical bases of quantum groups
Bernard Leclerc, Maxim Nazarov, Jean-Yves Thibon
A criterion of irreducibility for induction products of evaluation modules of type A affine Hecke algebras is given. It is derived from multiplicative properties of the canonical b…
Induced representations of affine Hecke algebras and singularities of R-matrices
Bernard Leclerc, Jean-Yves Thibon
We give an explicit criterion for the irreducibility of some induction products of evaluation modules of affine Hecke algebras of type A. This allows to describe the form of the si…
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…
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…
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…