The representation type of Hecke algebras of type B |
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| Authors: | Susumu Ariki |
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| Institution: | a Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
b School of Mathematics and Statistics F07, University of Sydney, Sydney NSW 2006, Australia |
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| Abstract: | This paper determines the representation type of the Iwahori-Hecke algebras of type B when q≠±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 (J. Algebra 149 (1992) 287). |
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| Keywords: | 20C08 20G05 33D80 |
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