Representation theory of rectangular finite \(W\)-algebras

DOI10.1016/j.jalgebra.2011.05.014zbMath1281.17017arXiv1003.2179OpenAlexW2963462841MaRDI QIDQ661885

Juan-Miguel Gracia

Publication date: 11 February 2012

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

Full work available at URL: https://arxiv.org/abs/1003.2179

zbMATH Keywords

representationLie algebraquantum algebranilpotent orbitYangianfinite \(W\)-algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30)

Related Items

Finite-dimensional representations of minimal nilpotent W-algebras and zigzag algebras, On the variety of 1-dimensional representations of finite \(W\)-algebras in low rank, Finite dimensional irreducible representations of finite \(W\)-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras, On changing highest weight theories for finite \(W\)-algebras, The \(R\)-matrix presentation for the Yangian of a simple Lie algebra

Cites Work

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• 1-dimensional representations and parabolic induction for \(W\)-algebras
• Finite-dimensional representations of \(W\)-algebras
• Shifted Yangians and finite \(W\)-algebras
• Commutative quotients of finite \(W\)-algebras
• Finite vs affine \(W\)-algebras
• Twisted Yangians and finite \(W\)-algebras
• Primitive ideals and orbital integrals in complex classical groups
• On Whittaker vectors and representation theory
• Quantum reduction for affine superalgebras
• 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
• On symmetric invariants of centralisers in reductive Lie algebras
• Enveloping algebras of Slodowy slices and the Joseph ideal
• TWISTED YANGIANS AND FOLDED ${\mathcal W}$ -ALGEBRAS
• Translation for finite 𝑊-algebras
• 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
• ELEMENTARY INVARIANTS FOR CENTRALIZERS OF NILPOTENT MATRICES
• Yangians and classical Lie algebras
• Finite-dimensional irreducible representations of twisted Yangians
• On the structure of the category O for W-algebras