Structure coefficients of the Hecke algebra of (S2n,B n)

Omar Tout

Structure coefficients of the Hecke algebra of (S_2n,B _n)

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

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 universal algebra which projects on the Hecke algebra of (S_2n, B_n) for every n. To build it, we introduce new objects called partial bijections.

Original language	English
Pages (from-to)	551-562
Number of pages	12
Journal	Discrete Mathematics and Theoretical Computer Science
Publication status	Published - 2013
Externally published	Yes
Event	25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France Duration: Jun 24 2013 → Jun 28 2013

Keywords

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

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)
Discrete Mathematics and Combinatorics

Cite this

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abstract = "The Hecke algebra of the pair (S2n,Bn), where B n 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 universal algebra which projects on the Hecke algebra of (S2n, Bn) for every n. To build it, we introduce new objects called partial bijections.",

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author = "Omar Tout",

year = "2013",

language = "English",

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journal = "Discrete Mathematics and Theoretical Computer Science",

issn = "1462-7264",

publisher = "Maison de l'informatique et des mathematiques discretes",

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AB - The Hecke algebra of the pair (S2n,Bn), where B n 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 universal algebra which projects on the Hecke algebra of (S2n, Bn) for every n. To build it, we introduce new objects called partial bijections.

KW - Hecke algebra of (S,B)

KW - Partial bijections

KW - Structure coefficients

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JO - Discrete Mathematics and Theoretical Computer Science

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T2 - 25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013

Y2 - 24 June 2013 through 28 June 2013

ER -

Structure coefficients of the Hecke algebra of (S_2n,B _n)

Abstract

Keywords

ASJC Scopus subject areas

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