The representation type of Hecke algebras of type B

Abstract

This paper determines the representation type of the Iwahori-Hecke algebras of type B when q1. 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 Poincar\'e polynomial, confirming a conjecture of Uno's.

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