Hochschild (co)homology of the Dunkl operator quantization of $\Z_2$-singularity

Details Hochschild (co)homology of the Dunkl operator quantization of $\Z_2$-singularity Hochschild (co)homology of the Dunkl operator quantization of $\Z_2$-singularity

2010-10-22

arxiv.org/abs/1010.4807v2

Mathematics

Quantum Algebra

26 pages. Comments and suggestions welcome. Some typos and other minor mistakes corrected

Scientific paper

10.1093/imrn/rnr105

We study Hochschild (co)homology groups of the Dunkl operator quantization of
$\Z_2$-singularity constructed by Halbout and Tang. Further, we study traces on
this algebra and prove a local algebraic index formula.

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