ON THE SMOOTHNESS OF CENTRES OF RATIONAL CHEREDNIK ALGEBRAS IN POSITIVE CHARACTERISTIC
Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 27-54
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In this paper we study rational Cherednik algebras at t = 1 in positive characteristic. We study a finite-dimensional quotient of the rational Cherednik algebra called the restricted rational Cherednik algebra. When the corresponding pseudo-reflection group belongs to the infinite series G(m, d, n), we describe explicitly the block decomposition of the restricted algebra. We also classify all pseudo-reflection groups for which the centre of the corresponding rational Cherednik algebra is regular for generic values of the deformation parameter.
BELLAMY, GWYN; MARTINO, MAURIZIO. ON THE SMOOTHNESS OF CENTRES OF RATIONAL CHEREDNIK ALGEBRAS IN POSITIVE CHARACTERISTIC. Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 27-54. doi: 10.1017/S0017089513000499
@article{10_1017_S0017089513000499,
author = {BELLAMY, GWYN and MARTINO, MAURIZIO},
title = {ON {THE} {SMOOTHNESS} {OF} {CENTRES} {OF} {RATIONAL} {CHEREDNIK} {ALGEBRAS} {IN} {POSITIVE} {CHARACTERISTIC}},
journal = {Glasgow mathematical journal},
pages = {27--54},
year = {2013},
volume = {55},
number = {A},
doi = {10.1017/S0017089513000499},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000499/}
}
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