Irreducible Specht modules for Iwahori–Hecke algebras of type 𝐵

Fayers, Matthew

doi:10.1090/S1088-4165-2012-00412-5

Irreducible Specht modules for Iwahori–Hecke algebras of type $B$
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by Matthew Fayers

Represent. Theory 16 (2012), 108-126

DOI: https://doi.org/10.1090/S1088-4165-2012-00412-5

Published electronically: February 6, 2012

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Abstract:

We consider the problem of classifying irreducible Specht modules for the Iwahori–Hecke algebra of type $B$ with parameters $Q,q$. We solve this problem completely in the case where $q$ is not a root of unity, and in the case $q=-1$ we reduce the problem to the corresponding problem in type $A$.

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