Stephen Doty, Karin Erdmann, Anne Henke
Published 2003-05-16Version 1
We initiate the systematic study of endomorphism algebras of permutation modules and show they are obtainable by a descent from a certain "generic" Hecke algebra, infinite-dimensional in general, coming from the universal enveloping algebra of gl_n (or sl_n). The endomorphism algebras and the generic algebras are cellular. We give several equivalent descriptions of these algebras, find a number of explicit bases, and describe indexing sets for their irreducible representations.
Higher level affine Schur and Hecke algebras
A new integral basis for the centre of the Hecke algebra of type A
Cocenters and representations of pro-$p$ Hecke algebras
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