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The cyclotomic BMW algebra associated with the two string type B braid group

Stewart Wilcox, Shona Yu

math.RTarXiv:math/0611518

Abstract

The cyclotomic Birman-Murakami-Wenzl (or BMW) algebras Bnk, introduced by R. Haring-Oldenburg, are extensions of the cyclotomic Hecke algebras of Ariki-Koike, in the same way as the BMW algebras are extensions of the Hecke algebras of type A. In this paper we focus on the case n=2, producing a basis of B2k and constructing its left regular representation.

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