Rouquier blocks in Chevalley groups of type E

In finite Chevalley groups of type E, we shall find a ‘Rouquier’ like block algebra in non-defining characteristic. We construct a Morita equivalence between this block and a principal block of a local subgroup. As an application of the equivalence, we shall determine some decomposition numbers in t...

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Bibliographic Details
Published in:Advances in mathematics (New York. 1965) 2008-04, Vol.217 (6), p.2841-2871
Main Author: Miyachi, Hyohe
Format: Article
Language:English
Subjects:
Broué's abelian defect conjecture
Decomposition numbers
Rouquier blocks
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Summary:In finite Chevalley groups of type E, we shall find a ‘Rouquier’ like block algebra in non-defining characteristic. We construct a Morita equivalence between this block and a principal block of a local subgroup. As an application of the equivalence, we shall determine some decomposition numbers in type E.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2007.12.004