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Hecke algebras of classical type and their representation type

Published online by Cambridge University Press:  23 August 2005

Susumu Ariki
Susumu Ariki
Affiliation:
Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606–8502, Japan. E-mail: [email protected]
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Abstract

The purpose of this article is to determine the representation type for all of the Hecke algebras of classical type. To do this, we combine methods from our previous work, which is used to obtain information on their Gabriel quivers, and recent advances in the theory of finite-dimensional algebras. The principal computation is for Hecke algebras of type B with two parameters. Then, we show that the representation type of Hecke algebras is governed by their Poincaré polynomials.

Keywords

Hecke algebrasrepresentation type20C0820G0533D80
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 91 , Issue 2 , September 2005 , pp. 355 - 413
Copyright
2005 London Mathematical Society

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