Abstract
Following the work of Kashiwara and Rouquier and of Gan and Ginzburg, we define a family of exact functors from category for the rational Cherednik algebra in type to representations of certain colored braid groups and we calculate the dimensions of the representations thus obtained from standard modules. To show that our constructions make sense in a more general context, we also briefly study the case of the rational Cherednik algebra corresponding to complex reflection group .
Citation
Kevin McGerty. "Microlocal -functors and rational Cherednik algebras." Duke Math. J. 161 (9) 1657 - 1709, 15 June 2012. https://doi.org/10.1215/00127094-1593353
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