The representations of cyclotomic BMW algebras

Abstract: 

We start by reviewing some basic material of the cyclotomic Birman-Murakami-Wenzl algebras and give a necessary and sufficient condition for such algebras being semisimple over an arbitrary field.  Furthermore, we get a criterion for each cell module being equal to its simple head over a field. We also determine explicitly when the cyclotomic Birman-Murakami-Wenzl algebra is Morita equivalent to the direct sum of some Ariki-Koike algebras. This is a joint work with H. Rui.