Hochschild (Co)homology of the Dunkl Operator Quantization of ℤ2-singularity
A Ramadoss, X Tang - International Mathematics Research …, 2012 - ieeexplore.ieee.org
A Ramadoss, X Tang
International Mathematics Research Notices, 2012•ieeexplore.ieee.org… We study Hochschild (co)homology groups of the Dunkl operator quantization of Z2-singularity
constructed by Halbout and Tang. Further, we study traces on this algebra and prove a local
algebraic index formula. … In this section, we compute the Hochschild homology of formal
analogs of the symplectic reflection algebras defined by [7]. As a special case, we obtain the
Hochschild homology of the Dunkl–Weyl algebra D2((h1))((h2)) constructed in [11]. We then
provide an explicit formula for the unique normalized C((h1))((h2))-linear trace φ on D2((h1))((h2)) …
constructed by Halbout and Tang. Further, we study traces on this algebra and prove a local
algebraic index formula. … In this section, we compute the Hochschild homology of formal
analogs of the symplectic reflection algebras defined by [7]. As a special case, we obtain the
Hochschild homology of the Dunkl–Weyl algebra D2((h1))((h2)) constructed in [11]. We then
provide an explicit formula for the unique normalized C((h1))((h2))-linear trace φ on D2((h1))((h2)) …
We study Hochschild (co)homology groups of the Dunkl operator quantization of -singularity constructed by Halbout and Tang. Further, we study traces on this algebra and prove a local algebraic index formula.
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