Symplectic reflection algebras in positive characteristic as Ore extensions

DOI10.1080/00927872.2020.1741599zbMath1469.16050arXiv1302.5411OpenAlexW3014950915MaRDI QIDQ5119341

Emily Norton

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5411

zbMATH Keywords

deformationsquadratic algebrassymplectic reflection algebrasskew group algebrasOre extensionselementary abelian \(p\)-groupsAndré polynomialsmodular representations in defining characteristic

Mathematics Subject Classification ID

Deformations of associative rings (16S80) Rings of differential operators (associative algebraic aspects) (16S32) Twisted and skew group rings, crossed products (16S35) Representation theory of associative rings and algebras (16G99) Quadratic and Koszul algebras (16S37) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (5)

Gerstenhaber brackets for skew group algebras in positive characteristic ⋮ Deformation cohomology for cyclic groups acting on polynomial rings ⋮ PBW deformations of Koszul algebras over a nonsemisimple ring. ⋮ Group-twisted Alexander-Whitney and Eilenberg-Zilber maps ⋮ PBW deformations of skew group algebras in positive characteristic.

Cites Work

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• Towards a combinatorial representation theory for the rational Cherednik algebra of type G(r, p, n)
• Symplectic reflection algebras
• A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible Modules
• Minimax trees and André polynomials

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