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Weight two blocks of Iwahori–Hecke algebras in characteristic two

Published online by Cambridge University Press:  21 October 2005

MATTHEW FAYERS
MATTHEW FAYERS
Affiliation:
Magdalene College, Cambridge, CB3 0AG. Current address: Queen Mary and Westfield College, University of London, Mile End Road, London E14NS
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Abstract

We study blocks of the Iwahori–Hecke algebra ${\cal H}_q (\frak{S}_n)$ of weight two over a field of characteristic two. Using techniques and notation developed by Scopes, Richards, Chuang and Tan for the case of odd characteristic, we find the decomposition numbers and classify extensions between simple modules for these blocks.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 3 , November 2005 , pp. 385 - 397
Copyright
2005 Cambridge Philosophical Society

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