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THE HECKE ALGEBRAS OF TYPE B AND D AND Subfactors

By R. C. Orellana

Abstract

We define a nontrivial homomorphism from the Hecke algebra of type B onto a reduced algebra of the Hecke algebra of type A at roots of unity. We use this homomorphism to describe semisimple quotients of the Hecke algebra of type B at roots of unity. Using these quotients we determine subfactors obtained fromthe inclusion of Hecke algebra of type A into Hecke algebras of type B. We also study intermediate subfactors related to the Hecke algebra of type D

Year: 2001
DOI identifier: 10.2140/pjm.2001.199.137
OAI identifier: oai:CiteSeerX.psu:10.1.1.148.2840
Provided by: CiteSeerX
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