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


Author: Matthew Fayers
Journal: Represent. Theory 16 (2012), 108-126
MSC (2010): Primary 20C08, 05E10
DOI: https://doi.org/10.1090/S1088-4165-2012-00412-5
Published electronically: February 6, 2012
MathSciNet review: 2888172
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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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Additional Information

Matthew Fayers
Affiliation: Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom
Email: m.fayers@qmul.ac.uk

Received by editor(s): February 21, 2011
Published electronically: February 6, 2012
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.