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

K\"ur\c{s}at Aker; Mah\.ir B\.ilen Can

arxiv: 1009.5373 · v2 · pith:BSKVZQWSnew · submitted 2010-09-27 · 🧮 math.CO · math.GR· math.RA

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

K\"ur\c{s}at Aker , Mah\.ir B\.ilen Can This is my paper

classification 🧮 math.CO math.GRmath.RA

keywords algebrageneratorsheckeconjecturecorollariesfandgivengroup

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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.

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

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