Commutative quotients of finite \(W\)-algebras
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Publication:986078
DOI10.1016/j.aim.2010.02.020zbMath1241.17015arXiv0809.0663OpenAlexW2963451421MaRDI QIDQ986078
Publication date: 11 August 2010
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.0663
primitive idealssmall representationssheetsreduced enveloping algebrasfinite W algebrasHumphreys conjecture
Universal enveloping (super)algebras (17B35) Applications of Lie (super)algebras to physics, etc. (17B81) Poisson algebras (17B63)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Shifted Yangians and finite \(W\)-algebras
- Finite vs affine \(W\)-algebras
- Simple singularities and simple algebraic groups
- Nilpotent classes and sheets of Lie algebras in bad characteristic
- Über Schichten halbeinfacher Lie-Algebren
- Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
- Parametrisierung von Konjugationsklassen in \(\mathfrak sl_n\)
- Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen
- Principal nilpotent pairs in a semisimple Lie algebra. I
- Special transverse slices and their enveloping algebras
- Nilpotent orbits in good characteristic and the Kempf-Rousseau theory
- Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture
- Enveloping algebras of Slodowy slices and the Joseph ideal
- Coisotropic representations of reductive groups
- On 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type
- SECTIONS OF SHEETS IN A REDUCTIVE ALGEBRAIC LIE ALGEBRA
- Harish-Chandra bimodules for quantized Slodowy slices
- Quantized symplectic actions and 𝑊-algebras
- On the dimension of the sheets of a reductive Lie algebra
- ELEMENTARY INVARIANTS FOR CENTRALIZERS OF NILPOTENT MATRICES
- Induced Unipotent Classes
- Modular representations of simple Lie algebras
- Representations of restricted Lie algebras and families of associative ℒ-algebras
- On a theorem of Jordan
- Representations of shifted Yangians and finite 𝑊-algebras
- Irreducible Subvarieties and Rational Points
- The center of the universal enveloping algebra of a Lie algebra in characteristic $p$
- Reduction of Algebraic Varieties with Respect to a Discrete Valuation of the Basic Field
- Sheets and topology of primitive spectra for semisimple Lie algebras