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arXiv · 1904.01232

Morita equivalences on Brauer algebras and BMW algebras of simply-laced types

Shoumin Liu
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Abstract

The Morita equivalences of classical Brauer algebras and classical Birman-Murakami-Wenzl algebras have been well studied. Here we study the Morita equivalence problems on these two kinds of algebras of simply-laced type, especially for them with the generic parameters. We show that Brauer algebras and Birman-Murakami-Wenzl algebras of simply-laced type are Morita equivalent to the direct sums of some group algebras of Coxeter groups and some Hecke algebras of some Coxeter groups, respectively.

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Shoumin Liu. 2019-04-02. Morita equivalences on Brauer algebras and BMW algebras of simply-laced types. https://arxiv.org/abs/1904.01232

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