Remarks on cyclotomic and degenerate cyclotomic BMW algebras

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• 作者：Frederick M. Goodman ^{frederick-goodman@uiowa.edu}
• 关键词：20C08 ; 16G99 ; 81R50
• 刊名：Journal of Algebra
• 出版年：2012
• 期刊代码：69_00218693
• 类别：mt
• 出版时间：15 August, 2012
• 卷：364
• 期：Complete
• 页码：13-37
• 文件大小：315 K

摘要

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.