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.
DOI : 10.1017/S0017089513000499
Mots-clés : 16G99, 16W70
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
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     title = {ON {THE} {SMOOTHNESS} {OF} {CENTRES} {OF} {RATIONAL} {CHEREDNIK} {ALGEBRAS} {IN} {POSITIVE} {CHARACTERISTIC}},
     journal = {Glasgow mathematical journal},
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     year = {2013},
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