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

Omar Tout*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article numberP4.35
JournalElectronic Journal of Combinatorics
Volume21
Issue number4
Publication statusPublished - Nov 13 2014
Externally publishedYes

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

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