Remarks on Cyclotomic and Degenerate Cyclotomic BMW Algebras
Representation Theory
2012-05-09 v3 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1011.3284,
title = {Remarks on Cyclotomic and Degenerate Cyclotomic BMW Algebras},
author = {Frederick M. Goodman},
journal= {arXiv preprint arXiv:1011.3284},
year = {2012}
}
Comments
Rewrote introduction. Minor revisions and corrections. Published in Journal of Algebra