The Representation Type of Hecke Algebras of Type B
نویسنده
چکیده
This paper determines the representation type of the IwahoriHecke algebras of type B when q 6= ±1. In particular, we show that a single parameter non–semisimple Iwahori–Hecke algebra of type B has finite representation type if and only if q is a simple root of the Poincaré polynomial, confirming a conjecture of Uno’s [17].
منابع مشابه
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The purpose of this article is to determine 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. Principal computation is for Hecke algebras of type B with two parameters. Then, we show that the rep...
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