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Adjustment matrices for weight three blocks of Iwahori–Hecke algebras

We compute the ‘adjustment matrices’ for weight 3 blocks of Iwahori–Hecke algebras of type A, in characteristic 2 or 3. This enables all the decomposition numbers for weight 3 blocks to be calculated.

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Bibliographic Details
Published in:Journal of algebra 2006-12, Vol.306 (1), p.76-103
Main Authors: Fayers, Matthew, Tan, Kai Meng
Format: Article
Language:English
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Description
Summary:We compute the ‘adjustment matrices’ for weight 3 blocks of Iwahori–Hecke algebras of type A, in characteristic 2 or 3. This enables all the decomposition numbers for weight 3 blocks to be calculated.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2006.01.054