Remarks on Cyclotomic and Degenerate Cyclotomic BMW Algebras
arXiv:1011.3284 · doi:10.1016/j.jalgebra.2012.05.001
Abstract
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.
arXiv commentRewrote introduction. Minor revisions and corrections. Published in Journal of Algebra
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Cited by in corpus (5)
- A basis theorem for the affine Kauffmann category and its cyclotomic quotients
- Mixed Schur-Weyl duality between general linear Lie algebras and cyclotomic walled Brauer algebras
- Affine cellularity of affine Birman-Murakami-Wenzl algebras
- On the classification of finite dimensional irreducible modules for affine BMW algebras
- Bubbles in the affine Brauer and Kauffman categories