an:00856844
Zbl 0852.20035
Jones, V. F. R.
A quotient of the affine Hecke algebra in the Brauer algebra
EN
Enseign. Math., II. S??r. 40, No. 3-4, 313-344 (1994).
00024273
1994
j
20G05 16P10 20C30 16W30
Brauer's centralizer algebras; trace functionals; simple components; affine Hecke algebras; generators; relations
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.