Traces on finite \(\mathcal{W}\)-algebras

DOI10.1007/s00031-010-9103-8zbMath1253.17007arXiv1004.4634OpenAlexW2006348398MaRDI QIDQ626570

Travis Schedler, Pavel I. Etingof

Publication date: 18 February 2011

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4634

zbMATH Keywords

cohomologySpringer fiberPoisson-de Rham homologyclassical \(\mathcal W\)-algebrasquantum \(\mathcal W\)-algebras

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Poisson algebras (17B63) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Poisson traces, D-modules, and symplectic resolutions ⋮ Filtrations on Springer fiber cohomology and Kostka polynomials ⋮ Poisson-de Rham homology of hypertoric varieties and nilpotent cones

Cites Work

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• Poisson traces and \(D\)-modules on Poisson varieties. With an appendix by Ivan Losev
• The invariant holonomic system on a semisimple Lie algebra
• A differential complex for Poisson manifolds
• Simple singularities and simple algebraic groups
• A construction of representations of Weyl groups
• Hochschild homology and cohomology of generalized Weyl algebras.
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Algebraic index theorem
• Semi-simplicity of invariant holonomic systems on a reductive Lie algebra
• A relation between Hochschild homology and cohomology for Gorenstein rings
• The Hochschild cohomology ring of regular maximal primitive quotients of enveloping algebras of semisimple Lie algebras