Symplectic reflection algebras in positive characteristic

DOI10.1017/S0013091507001435zbMath1211.16020arXiv0709.2338OpenAlexW2962773408MaRDI QIDQ3400091

K. Changtong, Kenneth A. Brown

Publication date: 5 February 2010

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2338

zbMATH Keywords

irreducible modulesquadratic algebrassymplectic reflection algebrasrational Cherednik algebrasPI-rings

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of orders, lattices, algebras over commutative rings (16G30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Rings of differential operators (associative algebraic aspects) (16S32) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Quadratic and Koszul algebras (16S37)

Related Items (7)

An analogue of the Kac-Weisfeiler conjecture ⋮ ON THE SMOOTHNESS OF CENTRES OF RATIONAL CHEREDNIK ALGEBRAS IN POSITIVE CHARACTERISTIC ⋮ On the Azumaya locus of almost commutative algebras ⋮ Center of infinitesimal Cherednik algebras of 𝔤𝔩_{𝔫} ⋮ Group-twisted Alexander-Whitney and Eilenberg-Zilber maps ⋮ Infinitesimal Hecke algebras of \(\mathfrak{sl}_2\) in positive characteristic ⋮ PBW deformations of skew group algebras in positive characteristic.

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