In analogy with the set of Jucys-Murphy elements, a set of ring generators for the Hecke algebra of the Gel' fand pair (S-2n, B-n), where B-n is the hyperoctahedral subgroup of the symmetric group S-2n is constructed. Various consequences are presented, a conjecture of S. Matsumoto is proven. (c) 2012 Elsevier Inc. All rights reserved
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We show that the $\mathcal{H}_{n-1}$-conjugacy classes of $\mathcal{H}_n,$ where $\mathcal{H}_n$ is ...
Let G be a finite group, K a subgroup and V an irreducible representation of K. Then the Hecke al...
Abstract. Külshammer, Olsson and Robinson conjectured that a certain set of numbers determined the ...
AbstractIn analogy with the set of Jucys–Murphy elements, a set of ring generators for the Hecke alg...
International audienceThe Hecke algebra of the pair $(\mathcal{S}_{2n}, \mathcal{B}_n)$, where $\mat...
The Hecke algebra of the pair $(S_{2n},B_n)$, where $B_n$ is the hyperoctahedral subgroup of $S_{2n}...
A combinatorial construction of Gelfand models for the symmetric group, for its Iwahori-Hecke algebr...
International audienceWe investigate the extensions of the Hecke algebras of finite (complex) reflec...
We study a finite-dimensional quotient of the Hecke algebra of type for general n, using a calculus ...
Abstract. We consider graded Cartan matrices of the symmetric groups and the Iwahori-Hecke algebras ...
. We study a finite-dimensional quotient of the Hecke algebra of type Hn for general n, using a cal...
We study Hecke pairs using the coarse geometry of their coset space and their Schlichting completion...
This thesis develops the foundations of the program of groupoidification and presents an application...
International audienceBuilding on the work of P.N. Norton, we give combinatorial formulae for two ma...
AbstractLet Hn(q) be the Iwahori-Hecke algebra of the symmetric group Sn. Let Fq be a finite field w...
We show that the $\mathcal{H}_{n-1}$-conjugacy classes of $\mathcal{H}_n,$ where $\mathcal{H}_n$ is ...
Let G be a finite group, K a subgroup and V an irreducible representation of K. Then the Hecke al...
Abstract. Külshammer, Olsson and Robinson conjectured that a certain set of numbers determined the ...
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