A note on Verma modules for finite \(W\)-algebras

DOI10.1016/j.jalgebra.2010.06.027zbMath1259.17004OpenAlexW2076686370MaRDI QIDQ615879

Simon M. Goodwin

Publication date: 7 January 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.06.027

zbMATH Keywords

finite \(W\)-algebras

Mathematics Subject Classification ID

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

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Cites Work

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• Finite vs affine \(W\)-algebras
• Special transverse slices and their enveloping algebras
• Enveloping algebras of Slodowy slices and the Joseph ideal
• Translation for finite 𝑊-algebras
• 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