Brauer algebras of type B

Report

Cohen, A.M. & Liu, S. (2011). Brauer algebras of type B. (arXiv.org [math.RT], No. 1112.4954). s.n., 34 pp. Read more: Medialink/Full text

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.