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Finite dimensional representations of DAHA and affine Springers fibers : the spherical case

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arxiv 0705.2691 v3 pith:ULXWQ5Z6 submitted 2007-05-18 math.RT

classification math.RT
keywords affinedimensionalfiniterepresentationssphericalalgebrasdoublehecke
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We classify finite dimensional simple spherical representations of rational double affine Hecke algebras, and we study a remarkable family of finite dimensional simple spherical representations of double affine Hecke algebras.

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  1. Modularity, 4d mirror symmetry, and VOA modules of 4d $\mathcal{N} = 2$ SCFTs with $a = c$

    hep-th 2025-05 conditional novelty 6.0 of 10

    The vacuum Schur-index modular orbit is proposed as the full VOA module-character space for several a=c theories, with a conjectured dimension formula 1+3ℓ(2+ℓ) for the T_{2,2ℓ+1} series.

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