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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.

##### MSC:
 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)