Brauer algebras of type B

A.M. Cohen, S. Liu

Research output: Book/ReportReportAcademic

Abstract

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 languageEnglish
Publishers.n.
Number of pages34
Publication statusPublished - 2011

Publication series

NamearXiv.org [math.RT]
Volume1112.4954

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Brauer Algebra
Subalgebra
Algebra
Generator

Cite this

Cohen, A. M., & Liu, S. (2011). Brauer algebras of type B. (arXiv.org [math.RT]; Vol. 1112.4954). s.n.
Cohen, A.M. ; Liu, S. / Brauer algebras of type B. s.n., 2011. 34 p. (arXiv.org [math.RT]).
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Cohen, AM & Liu, S 2011, Brauer algebras of type B. arXiv.org [math.RT], vol. 1112.4954, s.n.

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

s.n., 2011. 34 p. (arXiv.org [math.RT]; Vol. 1112.4954).

Research output: Book/ReportReportAcademic

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Cohen AM, Liu S. Brauer algebras of type B. s.n., 2011. 34 p. (arXiv.org [math.RT]).