The cyclotomic BMW algebra associated with the two string type B braid group
Representation Theory
2010-10-08 v3 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.math/0611518,
title = {The cyclotomic BMW algebra associated with the two string type B braid group},
author = {Stewart Wilcox and Shona Yu},
journal= {arXiv preprint arXiv:math/0611518},
year = {2010}
}
Comments
16 pages, AMS-LateX; minor typos corrected; added more discussion of different admissibility conditions