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

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

2006-11-17

arxiv.org/abs/math/0611518v3

Mathematics

Representation Theory

16 pages, AMS-LateX; minor typos corrected; added more discussion of different admissibility conditions

Scientific paper

The cyclotomic Birman-Murakami-Wenzl (or BMW) algebras B_n^k, 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 B_2^k and constructing its left regular representation.

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