Morita equivalence for cyclotomic BMW algebras

Abstract

In this paper, we determine explicitly the singular parameters for cyclotomic BMW algebras Br,n over an arbitrary field. Equivalently, we give a criterion for Br,n being Morita equivalent to the direct sum of some Ariki–Koike algebras. This generalizes König and Xi's work on Brauer algebras [14, Theorem 7.3] and our previous work on Brauer and Birman–Murakami–Wenzl algebras [20, Proposition 2.15].