Extensions of the rational Cherednik algebra and generalized KZ functors
Representation Theory
2022-05-13 v1
Abstract
Ginzburg, Guay, Opdam and Rouquier established an equivalence of categories between a quotient category of the category for the rational Cherednik algebra and the category of finite dimension modules of the Hecke algebra of a complex reflection group . We establish two generalizations of this result. On the one hand to the extension of the Hecke algebra associated to the normaliser of a reflection subgroup and on the other hand to the extension of the Hecke algebra by a lattice.
Keywords
Cite
@article{arxiv.2205.06185,
title = {Extensions of the rational Cherednik algebra and generalized KZ functors},
author = {Henry Fallet},
journal= {arXiv preprint arXiv:2205.06185},
year = {2022}
}