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Fusion Procedure for Cyclotomic BMW Algebras

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Abstract

In this paper, we prove that the pairwise orthogonal primitive idempotents of generic cyclotomic Birman-Murakami-Wenzl algebras can be constructed by consecutive evaluations of a certain rational function. In the Appendix, we prove a similar result for generic cyclotomic Nazarov-Wenzl algebras. A consequence of the constructions is a one-parameter family of fusion procedures for the cyclotomic Hecke algebra and its degenerate analogue.

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Acknowledgements

The author would like to thank the referee for many helpful comments and suggestions. The author was partially supported by the Fundamental Research Funds of Shandong University (No. 2016GN024), and by the National Natural Science Foundation of China (No. 11601273).

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Authors and Affiliations

  1. School of Mathematics, Shandong University, Jinan, Shandong, 250100, People’s Republic of China

    Weideng Cui

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  1. Weideng Cui
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Correspondence to Weideng Cui.

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Presented by Steffen Koenig.

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Cui, W. Fusion Procedure for Cyclotomic BMW Algebras. Algebr Represent Theor 21, 565–578 (2018). https://doi.org/10.1007/s10468-017-9727-7

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