Translation for finite 𝑊-algebras

DOI10.1090/S1088-4165-2011-00388-5zbMath1250.17011arXiv0908.2739MaRDI QIDQ2889327

Simon M. Goodwin

Publication date: 7 June 2012

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

Full work available at URL: https://arxiv.org/abs/0908.2739

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35)

Related Items

A note on Verma modules for finite \(W\)-algebras ⋮ Representation theory of rectangular finite \(W\)-algebras ⋮ Urod algebras and Translation of W-algebras ⋮ Classification of finite-dimensional irreducible modules over -algebras

Cites Work

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• A note on Verma modules for finite \(W\)-algebras
• Shifted Yangians and finite \(W\)-algebras
• Commutative quotients of finite \(W\)-algebras
• Finite vs affine \(W\)-algebras
• Twisted Yangians and finite \(W\)-algebras
• Schur-Weyl duality for higher levels
• On Whittaker vectors and representation theory
• Quantization and representation theory of finite \(W\) algebras
• Special transverse slices and their enveloping algebras
• The Kazhdan-Lusztig conjecture for finite \(W\)-algebras
• Representation theory of \(\mathcal{W}\)-algebras
• Enveloping algebras of Slodowy slices and the Joseph ideal
• On 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type
• Good grading polytopes
• Highest Weight Theory for Finite W-Algebras
• Harish-Chandra bimodules for quantized Slodowy slices
• Quantized symplectic actions and 𝑊-algebras
• Representations of shifted Yangians and finite 𝑊-algebras