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.

Original language | English |
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Publisher | s.n. |
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Number of pages | 34 |
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Publication status | Published - 2011 |
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Name | arXiv.org [math.RT] |
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Volume | 1112.4954 |
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