Remarks on Cyclotomic and Degenerate Cyclotomic BMW Algebras

Details Remarks on Cyclotomic and Degenerate Cyclotomic BMW Algebras Remarks on Cyclotomic and Degenerate Cyclotomic BMW Algebras

2010-11-15

arxiv.org/abs/1011.3284v2

Mathematics

Representation Theory

Minor corrections, updated bibliography, edited introduction

Scientific paper

We relate the structure of cyclotomic and degenerate cyclotomic BMW algebras,
for arbitrary parameter values, to that for admissible parameter values. In
particular, we show that these algebras are cellular. We characterize those
parameter sets for affine BMW algebras over an algebraically closed field that
permit the algebras to have non--trivial cyclotomic quotients.

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