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The Representations of Cyclotomic BMW Algebras, II

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Abstract

In this paper, we give a recursive formula to compute the Gram determinant associated to each cell module of the cyclotomic BMW algebras over an integral domain. As a by-product, we determine explicitly when is semisimple over a field. This generalizes our previous result on Birman-Murakami-Wenzl algebras in Rui and Si (J Reine Angew Math 631:153–180, 2009).

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Authors and Affiliations

  1. Department of Mathematics, East China Normal University, 200241, Shanghai, People’s Republic of China

    Hebing Rui

  2. Department of Mathematics, Shanghai Jiaotong University, 200240, Shanghai, People’s Republic of China

    Mei Si

Authors
  1. Hebing Rui
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  2. Mei Si
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Corresponding author

Correspondence to Hebing Rui.

Additional information

H. Rui is supported in part by NSFC-11025104. M. Si is supported in part by NSFC-10901102.

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Rui, H., Si, M. The Representations of Cyclotomic BMW Algebras, II. Algebr Represent Theor 15, 551–579 (2012). https://doi.org/10.1007/s10468-010-9249-z

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  • DOI: https://doi.org/10.1007/s10468-010-9249-z

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