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Double affine Hecke algebras for the spin symmetric group

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arxiv math/0608074 v4 pith:D3KXWHC6 submitted 2006-08-03 math.RT math.QA

Weiqiang Wang This is my paper · ORCID
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We introduce a new class (in two versions) of rational double affine Hecke algebras (DaHa) associated to the spin symmetric group. We establish the basic properties of the algebras, such as PBW and Dunkl representation, and connections to Nazarov's degenerate affine Hecke-Clifford algebra and to a new degenerate affine Hecke algebra introduced here. We formulate a Morita equivalence between the two versions of rational DaHa's. The trigonometric generalization of the above constructions is also formulated and its relation to the rational counterpart is established.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Higher-level affine wreath product algebras

    math.RT 2026-05 unverdicted novelty 7.0 of 10

    Introduces higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras as path algebras of new categories depending on a Frobenius superalgebra, unifying various higher-level construct...

  2. Higher-level degenerate spin affine Hecke superalgebras

    math.RT 2026-07 accept novelty 5.5 of 10

    Higher-level degenerate spin affine Hecke superalgebras are isomorphic (after Clifford tensor) to higher-level degenerate affine Hecke–Clifford superalgebras, hence Morita superequivalent.

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