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

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We 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.
66 pages. Section 8 revised

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Representation Theory, 20C08, 20C25, 17B60, 17B20, 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/229217

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.0499
 http://arxiv.org/abs/0904.0499

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arXiv