A generic algebra associated to certain Hecke algebras

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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.
19 pages

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Representation Theory, Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/67488

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305239
 http://arxiv.org/abs/math/0305239

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arXiv