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arXiv · 1006.1599

Microlocal KZ functors and rational Cherednik algebras

Kevin McGerty
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Abstract

Following the work of Kashiwara-Rouquier and Gan-Ginzburg, we define a family of exact functors from category $\mathcal O$ for the rational Cherednik algebra in type $A$ to representations of certain "coloured braid groups" and calculate the dimensions of the representations thus obtained from standard modules. To show that our constructions also make sense in a more general context, we also briefly study the case of the rational Cherednik algebra corresponding to complex reflection group $\mathbb Z/l\mathbb Z$.

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BibTeXRIS

Kevin McGerty. 2011-10-11. Microlocal KZ functors and rational Cherednik algebras. https://doi.org/10.1215/00127094-1593353

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