The representation dimension of Hecke algebras and symmetric groups

We establish a lower bound for the representation dimension of all the classical Hecke algebras of types A, B and D. For all the type A algebras, and “most” of the algebras of types B and D, we also establish upper bounds. Moreover, we establish bounds for the representation dimension of group algeb...

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Bibliographic Details
Published in:Advances in mathematics (New York. 1965) 2011-11, Vol.228 (4), p.2503-2521
Main Authors: Bergh, Petter Andreas, Erdmann, Karin
Format: Article
Language:English
Subjects:
Hecke algebras
Representation dimension
Symmetric groups
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Summary:We establish a lower bound for the representation dimension of all the classical Hecke algebras of types A, B and D. For all the type A algebras, and “most” of the algebras of types B and D, we also establish upper bounds. Moreover, we establish bounds for the representation dimension of group algebras of some symmetric groups.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2011.07.009