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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

Double affine Hecke algebras for the spin symmetric group

Weiqiang Wang This is my paper
classification math.RT math.QA
keywords affinealgebrasheckerationalalgebradahadegeneratedouble
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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

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    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...

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    math.RT 2026-05 unverdicted novelty 6.0

    Defines higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras as path algebras of categories depending on a Frobenius superalgebra, yielding new analogues of degenerate affine He...