Standard modules for tabular algebras

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We 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.
Around 29 pages, AMSTeX

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Quantum Algebra, Representation Theory, 20C08

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http://salesiana.dossiersoluciones.com/handle/123456789/65375

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210323
 http://arxiv.org/abs/math/0210323

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arXiv