A quotient of the affine Hecke algebra in the Brauer algebra. (English) Zbl 0852.20035

Summary: The structure of a certain subalgebra of Brauer’s centralizer algebra is given for all values of the parameter for which it is semisimple. The algebra admits a trace functional whose weights on the simple components of the algebra are calculated. The algebra may be exhibited as a quotient of the affine Hecke algebra of type \(\widetilde A_n\), using generators and relations.


20G05 Representation theory for linear algebraic groups
16P10 Finite rings and finite-dimensional associative algebras
20C30 Representations of finite symmetric groups
16W30 Hopf algebras (associative rings and algebras) (MSC2000)