Article ID Journal Published Year Pages File Type
4666259 Advances in Mathematics 2012 19 Pages PDF
Abstract

In analogy with the set of Jucys–Murphy elements, a set of ring generators for the Hecke algebra of the Gel’fand pair (S2n,Bn)(S2n,Bn), where BnBn is the hyperoctahedral subgroup of the symmetric group S2nS2n is constructed. Various consequences are presented, a conjecture of S. Matsumoto is proven.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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