A generic algebra associated to certain Hecke algebras
Representation Theory
2007-05-23 v1 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math/0305239,
title = {A generic algebra associated to certain Hecke algebras},
author = {Stephen Doty and Karin Erdmann and Anne Henke},
journal= {arXiv preprint arXiv:math/0305239},
year = {2007}
}
Comments
19 pages