Discriminants of Brauer algebras

2006/07/11 by Hebing Rui, Rui, Hebing, Mei Si +1
Mathematics · #16G99 #20C08 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:16G99 #msc:20C08

paper · pdf · doi:10.48550/arxiv.math/0607267

Math. Zeitschrift, to appear

arxiv created 2007/05/03 · arxiv updated 2009/12/01

Abstract

In this paper, we compute the discriminant of the Gram matrix associated to each cell module of the Brauer algebra \cban. Theoretically, we know when a cell module of \cban is equal to its simple head. This gives a solution of this long standing problem.

Related

• Brauer algebras of type C
• The blocks of the Brauer algebra in characteristic zero
• The blocks of the Brauer algebra in characteristic p
• Brauer algebras of type B
• The decomposition matrices of the Brauer algebra over the complex field