On changing highest weight theories for finite \(W\)-algebras

DOI10.1007/s10801-012-0361-5zbMath1336.17003arXiv1105.3308OpenAlexW2027080449MaRDI QIDQ1938797

Jonathan S. Brown, Simon M. Goodwin

Publication date: 25 February 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3308

zbMATH Keywords

simple modulenilpotent elementparabolic subalgebrafinite \(W\)-algebrahighest weight theory

Mathematics Subject Classification ID

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

Related Items

Finite dimensional irreducible representations of finite \(W\)-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite-dimensional representations of \(W\)-algebras
• Representation theory of rectangular finite \(W\)-algebras
• Coring stabilizers for a Hopf algebra coaction.
• On Whittaker vectors and representation theory
• The composition series of modules induced from Whittaker modules
• 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
• Finite W-algebras
• Good grading polytopes
• Highest Weight Theory for Finite W-Algebras
• Quantized symplectic actions and 𝑊-algebras
• Representations of shifted Yangians and finite 𝑊-algebras