Generators of the Hecke algebra of $(S_{2n},B_n)$

Abstract

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 presented. Various corollaries are given. A conjecture of Sho Matsumoto is proven.

We fixed some errors of the earlier version

References in corpus (1)

• Jucys-Murphy elements, orthogonal matrix integrals, and Jack measures

Cited by in corpus (3)

• On Kerov polynomials for Jack characters
• Maps, immersions and permutations
• A general framework for the polynomiality property of the structure coefficients of double-class algebras