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arXiv:math/0111140 [math.RT]AbstractReferencesReviewsResources

Equating decomposition numbers for different primes

Gordon James, Andrew Mathas

Published 2001-11-12, updated 2002-02-13Version 2

This paper shows that certain decomposition numbers for the Hecke algebras and q-Schur algebras at different roots of unity in characteristic zero are equal. To prove our results we first establish the corresponding theorem for the canonical basis of the level one Fock space and then apply deep results of Ariki and Varagnolo and Vasserot.

Comments: 13 pages. LaTeX2e + pstricks
Categories: math.RT, math.GR, math.QA
Subjects: 20C08, 20C30, 33D80
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