### Abstract

Original language | English |
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Publisher | s.n. |

Number of pages | 34 |

Publication status | Published - 2011 |

### Publication series

Name | arXiv.org [math.RT] |
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Volume | 1112.4954 |

### Fingerprint

### Cite this

*Brauer algebras of type B*. (arXiv.org [math.RT]; Vol. 1112.4954). s.n.

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*Brauer algebras of type B*. arXiv.org [math.RT], vol. 1112.4954, s.n.

**Brauer algebras of type B.** / Cohen, A.M.; Liu, S.

Research output: Book/Report › Report › Academic

TY - BOOK

T1 - Brauer algebras of type B

AU - Cohen, A.M.

AU - Liu, S.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

M3 - Report

T3 - arXiv.org [math.RT]

BT - Brauer algebras of type B

PB - s.n.

ER -