Some reducible Specht modules for Iwahori–Hecke algebras of type A with q=−1

Matthew Fayers; Sinéad Lyle

doi:10.1016/j.jalgebra.2008.11.006

Some reducible Specht modules for Iwahori–Hecke algebras of type A with q=−1

Matthew Fayers, Sinéad Lyle

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

The reducibility of the Specht modules for the Iwahori–Hecke algebras in type A is still open in the case where the defining parameter q equals -1. We prove the reducibility of a large class of Specht modules for these algebras.

Original language	English
Pages (from-to)	912-933
Number of pages	22
Journal	Journal of Algebra
Volume	321
Issue number	3
DOIs	https://doi.org/10.1016/j.jalgebra.2008.11.006
Publication status	Published - 2009

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10.1016/j.jalgebra.2008.11.006Licence: Other

Cite this

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title = "Some reducible Specht modules for Iwahori–Hecke algebras of type A with q=−1",

abstract = "The reducibility of the Specht modules for the Iwahori–Hecke algebras in type A is still open in the case where the defining parameter q equals -1. We prove the reducibility of a large class of Specht modules for these algebras.",

author = "Matthew Fayers and Sin{\'e}ad Lyle",

year = "2009",

doi = "10.1016/j.jalgebra.2008.11.006",

language = "English",

volume = "321",

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journal = "Journal of Algebra",

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publisher = "Academic Press Inc.",

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T1 - Some reducible Specht modules for Iwahori–Hecke algebras of type A with q=−1

AU - Fayers, Matthew

AU - Lyle, Sinéad

PY - 2009

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AB - The reducibility of the Specht modules for the Iwahori–Hecke algebras in type A is still open in the case where the defining parameter q equals -1. We prove the reducibility of a large class of Specht modules for these algebras.

U2 - 10.1016/j.jalgebra.2008.11.006

DO - 10.1016/j.jalgebra.2008.11.006

M3 - Article

VL - 321

SP - 912

EP - 933

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 3

ER -