Brauer algebras of type B

Details Brauer algebras of type B Brauer algebras of type B

2011-12-21

arxiv.org/abs/1112.4954v1

Mathematics

Representation Theory

5 figures

Scientific paper

For each n>0, we define an algebra having many properties that one might expect to hold for a Brauer algebra of type Bn. It is defined by means of a presentation by generators and relations. We show that this algebra is a subalgebra of the Brauer algebra of type Dn+1 and point out a cellular structure in it. This work is a natural sequel to the introduction of Brauer algebras of type Cn, which are subalgebras of classical Brauer algebras of type A2n-1 and differ from the current ones for n>2.

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