Structure Coefficients of the Hecke Algebra of (S2n, Bn)

Omar Tout

Structure Coefficients of the Hecke Algebra of (S_2n, B_n)

Omar Tout^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

The Hecke algebra of the pair (S_2n, B_n), where B_n is the hyperoctahedral subgroup of S_2n, was introduced by James in 1961. It is a natural analogue of the center of the symmetric group algebra. In this paper, we give a polynomiality property of its structure coefficients. Our main tool is a combinatorial algebra which projects onto the Hecke algebra of (S_2n, B_n) for every n. To build it, by using partial bijections we introduce and study a new class of finite dimensional algebras.

Original language	English
Article number	P4.35
Journal	Electronic Journal of Combinatorics
Volume	21
Issue number	4
Publication status	Published - Nov 13 2014
Externally published	Yes

Keywords

Hecke algebra of (S, B)
Partial bijections
Structure coefficients

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

Cite this

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AB - The Hecke algebra of the pair (S2n, Bn), where Bn is the hyperoctahedral subgroup of S2n, was introduced by James in 1961. It is a natural analogue of the center of the symmetric group algebra. In this paper, we give a polynomiality property of its structure coefficients. Our main tool is a combinatorial algebra which projects onto the Hecke algebra of (S2n, Bn) for every n. To build it, by using partial bijections we introduce and study a new class of finite dimensional algebras.

KW - Hecke algebra of (S, B)

KW - Partial bijections

KW - Structure coefficients

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ER -

Structure Coefficients of the Hecke Algebra of (S_2n, B_n)

Abstract

Keywords

ASJC Scopus subject areas

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