Finite-dimensional representations of minimal nilpotent W-algebras and zigzag algebras

DOI10.1090/ert/516zbMath1407.17013arXiv1610.03423OpenAlexW2620792901WikidataQ128950230 ScholiaQ128950230MaRDI QIDQ4560166

Alexey V. Petukhov

Publication date: 5 December 2018

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03423

zbMATH Keywords

primitive idealsself-injective modulesW-algebraszigzag algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Universal enveloping (super)algebras (17B35)

Related Items (1)

Whittaker categories and the minimal nilpotent finite \(W\)-algebras for \(\mathfrak{sl}_{n+1}\)

Cites Work

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• On the Gelfand-Kirillov conjecture for the W-algebras attached to the minimal nilpotent orbits
• Finite-dimensional representations of \(W\)-algebras
• Representation theory of rectangular finite \(W\)-algebras
• Cuspidal representations of \(\mathfrak{sl}(n+1)\)
• Schur-Weyl duality for higher levels
• Primitive ideals and orbital integrals in complex exceptional groups
• Classification of irreducible tempered representations of semisimple groups. I
• Differential operators on homogeneous spaces. III: Characteristic varieties of Harish Chandra modules and of primitive ideals
• On the associated variety of a primitive ideal
• Primitive ideals and orbital integrals in complex classical groups
• Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
• A generalized \(\tau\)-invariant for the primitive spectrum of a semisimple Lie algebra
• On Whittaker vectors and representation theory
• Special transverse slices and their enveloping algebras
• Finite dimensional irreducible representations of finite \(W\)-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras
• Enveloping algebras of Slodowy slices and the Joseph ideal
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Classification of finite-dimensional irreducible modules over -algebras
• Derived subalgebras of centralisers and finite -algebras
• Injectivity of the Cycle Map for Finite-Dimensional W-Algebras
• Cells and the Reflection Representation of Weyl Groups and Hecke Algebras
• Quantized symplectic actions and 𝑊-algebras
• Orbital varieties of the minimal orbit
• A category for the adjoint representation

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