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arXiv · 0904.0499

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

David Hill·Jonathan Kujawa·Josh Sussan
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Abstract

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.

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BibTeXRIS

David Hill, Jonathan Kujawa, Josh Sussan. 2009-05-05. Degenerate Affine Hecke-Clifford Algebras and Type $Q$ Lie Superalgebras. https://arxiv.org/abs/0904.0499

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