The representations of cyclotomic BMW algebras

Abstract

In this paper, we prove that the cyclotomic BMW algebras B2p+1,n are cellular in the sense of [16]. We also classify the irreducible B2p+1,nmodules over a field.

48 pages. submitted, We delete one sentence at the end of paragraph 2 in page 1, and add one reference

References in corpus (1)

• The Cyclotomic Birman-Murakami-Wenzl Algebras

Cited by in corpus (4)

• On the freeness of the cyclotomic BMW algebras: admissibility and an isomorphism with the cyclotomic Kauffman tangle algebras
• The representation theory of cyclotomic BMW algebras
• Affine and degenerate affine BMW algebras: The center
• Comparison of Admissibility Conditions for Cyclotomic Birman--Wenzl--Murakami Algebras