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

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.

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

References in corpus (1)

• The Cyclotomic Birman-Murakami-Wenzl Algebras

Cited by in corpus (3)

• On the freeness of the cyclotomic BMW algebras: admissibility and an isomorphism with the cyclotomic Kauffman tangle algebras
• Remarks on Cyclotomic and Degenerate Cyclotomic BMW Algebras
• Comparison of Admissibility Conditions for Cyclotomic Birman--Wenzl--Murakami Algebras