The Brauer group of dimodule algebras

Brauer Algebras and the Brauer Group

An algebra is a vector space V over a field k together with a kbilinear product of vectors under which V is a ring. A certain class of algebras, called Brauer algebras algebras which split over a finite Galois extension appear in many subfields of abstract algebra, including K-theory and class field theory. Beginning with a definition of the the tensor product, we define and study Brauer algebr...

The symmetric group and Brauer algebras

Complex Group Algebras of Finite Groups : Brauer ’ S Problem 1

Brauer’s Problem 1 asks the following: what are the possible complex group algebras of finite groups? It seems that with the present knowledge of representation theory it is not possible to settle this question. The goal of this paper is to announce a partial solution to this problem. We conjecture that if the complex group algebra of a finite group does not have more than a fixed number m of i...

Discriminants of Brauer Algebras

In this paper, we compute Gram determinants associated to all cell modules of Brauer algebras Bn(δ). Theoretically, we know when a cell module of Bn(δ) is equal to its simple head. This gives a solution of this long standing problem. On the occasion of Professor Gus Lehrer’s 60 birthday

The Differential Brauer Group