Degenerate Affine Hecke-Clifford Algebras and Type $Q$ Lie Superalgebras

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dc.creatorHill, David
dc.creatorKujawa, Jonathan
dc.creatorSussan, Josh
dc.date2009-04-03
dc.date2009-05-05
dc.date.accessioned2026-07-07T13:11:13Z
dc.date.available2026-07-07T13:11:13Z
dc.descriptionWe construct the finite dimensional simple integral modules for the (degenerate) affine Hecke-Clifford algebra (AHCA). Our construction includes an analogue of Zelevinsky's segment representations, a complete combinatorial description of the simple calibrated modules, and a classification of the simple integral modules. Additionally, we construct an analogue of the Arakawa-Suzuki functor for the Lie superalgebra of type Q.
dc.description66 pages. Section 8 revised
dc.identifierhttps://arxiv.org/abs/0904.0499
dc.identifierhttp://arxiv.org/abs/0904.0499
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229217
dc.subjectRepresentation Theory
dc.subject20C08, 20C25, 17B60, 17B20, 17B37
dc.titleDegenerate Affine Hecke-Clifford Algebras and Type $Q$ Lie Superalgebras
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