A generic algebra associated to certain Hecke algebras

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dc.creatorDoty, Stephen
dc.creatorErdmann, Karin
dc.creatorHenke, Anne
dc.date2003-05-16
dc.date.accessioned2026-07-07T04:58:04Z
dc.date.available2026-07-07T04:58:04Z
dc.descriptionWe 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0305239
dc.identifierhttp://arxiv.org/abs/math/0305239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67488
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.titleA generic algebra associated to certain Hecke algebras
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