Finite dimensional Hopf actions on Weyl algebras

DOI10.1016/j.aim.2016.07.009zbMath1356.16025arXiv1509.01165OpenAlexW2963714220MaRDI QIDQ317291

Chelsea Walton, Juan Cuadra, Pavel I. Etingof

Publication date: 30 September 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01165

zbMATH Keywords

Weyl algebraHopf algebra actionalgebra of differential operators

Mathematics Subject Classification ID

Rings of differential operators (associative algebraic aspects) (16S32) Filtered associative rings; filtrational and graded techniques (16W70) Hopf algebras and their applications (16T05)

Related Items (5)

Pointed Hopf actions on quantum generalized Weyl algebras ⋮ Partial (co)actions of Taft and Nichols Hopf algebras on algebras ⋮ Finite dimensional Hopf actions on deformation quantizations ⋮ Hopf actions of some quantum groups on path algebras ⋮ Partial (co)actions of Taft and Nichols Hopf algebras on their base fields

Cites Work

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• The Goldie theorem for \(H\)-semiprime algebras.
• Pointed Hopf actions on fields. I.
• Irreducible actions and faithful actions of Hopf algebras
• Galois bimodules and integrality of PI comodule algebras over invariants.
• Semisimple Hopf actions on commutative domains.
• Semisimple Hopf actions on Weyl algebras
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Invariant theory of Artin-Schelter regular algebras: a survey

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