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

Journal article

Wilcox, Stewart and Yu, Shona. (2011). The cyclotomic BMW algebra associated with the two string type B braid group. Communications in Algebra. 39(11), pp. 4428 - 4446. https://doi.org/10.1080/00927872.2011.611927
AuthorsWilcox, Stewart and Yu, Shona
Abstract

The cyclotomic Birman–Murakami–Wenzl (or BMW) algebras , introduced by R. Häring–Oldenburg, are extensions of the cyclotomic Hecke algebras of Ariki–Koike, in the same way as the BMW algebras are extensions of the Iwahori–Hecke algebras of type A. In this article, we produce a basis of the two strand algebra and construct its left regular representation. In the process we obtain relations amongst the parameters which play an important role in the n strand case.

Keywordsadmissibility relations; ariki–koike algebras; birman–murakami–wenzl algebras; bmw algebras; braid groups; brauer algebras; coxeter groups; cyclotomic bmw algebras; cyclotomic hecke algebras; diagram algebras
Year2011
JournalCommunications in Algebra
Journal citation39 (11), pp. 4428 - 4446
PublisherMarcel Dekker Inc.
ISSN0092-7872
Digital Object Identifier (DOI)https://doi.org/10.1080/00927872.2011.611927
Scopus EID2-s2.0-84857944062
Page range4428 - 4446
Research GroupSchool of Education
Publisher's version
File Access Level
Controlled
Place of publicationUnited States
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