Standard modules for tabular algebras

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dc.creatorGreen, R. M.
dc.date2002-10-21
dc.date.accessioned2026-07-07T04:52:11Z
dc.date.available2026-07-07T04:52:11Z
dc.descriptionWe introduce cell modules for the tabular algebras defined in a previous work (math.QA/0107230); these modules are analogous to the representations arising from left Kazhdan--Lusztig cells. The standard modules of the title are constructed in an elementary way by suitable tensoring of the cell modules. We show how a certain extended affine Hecke algebra of type $A$ equipped with its Kazhdan--Lusztig basis is an example of a tabular algebra, and verify that in this case our standard modules coincide with other standard modules defined in the literature.
dc.descriptionAround 29 pages, AMSTeX
dc.identifierhttps://arxiv.org/abs/math/0210323
dc.identifierhttp://arxiv.org/abs/math/0210323
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65375
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject20C08
dc.titleStandard modules for tabular algebras
dc.typetext

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