Principal \(W\)-algebras for \(\mathrm{GL}(m|n)\)

DOI10.2140/ant.2013.7.1849zbMath1302.17008arXiv1205.0992OpenAlexW1986099299MaRDI QIDQ393948

Simon M. Goodwin, Jonathan Brundan, Jonathan S. Brown

Publication date: 24 January 2014

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0992

zbMATH Keywords

representationsuperalgebranilpotent orbitYangiantriangular decomposition\(W\)-algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (19)

Representations of principal \(W\)-algebra for the superalgebra \(Q(n)\) and the super Yangian \textit{YQ}(1) ⋮ On Kostant's theorem for the Lie superalgebra \(Q(n)\) ⋮ On the finite W-algebra for the Lie superalgebra Q(N) in the non-regular case ⋮ On finite-dimensional representations of finite \(W\)-superalgebras ⋮ Finite \(W\)-superalgebras and truncated super Yangians ⋮ Finite \(W\)-superalgebras via super Yangians ⋮ On shifted super Yangians and a class of finite \(W\)-superalgebras ⋮ Minimal \(W\)-superalgebras and the modular representations of basic Lie superalgebras ⋮ Whittaker coinvariants for \(\mathrm{GL}(m|n)\) ⋮ Finite \(W\)-superalgebras and dimensional lower bounds for the representations of basic Lie superalgebras ⋮ Parabolic presentations of the super Yangian \(Y(\mathfrak{gl}_{M|N})\) associated with arbitrary 01-sequences ⋮ Super formal Darboux-Weinstein theorem and finite \(W\)-superalgebras ⋮ On principal finite W-algebras for the Lie superalgebra D(2, 1; α) ⋮ Odd reflections in the Yangian associated with \(\mathfrak{gl}(m|n)\) ⋮ On Finite W-Algebras for Lie Superalgebras in the Regular Case ⋮ On Principal Finite W-Algebras for Certain Orthosymplectic Lie Superalgebras and F(4) ⋮ Finite \(W\)-superalgebras for basic Lie superalgebras ⋮ Dimensions of irreducible modules over \(W\)-algebras and Goldie ranks ⋮ Finite W-superalgebras and quadratic spacetime supersymmetries

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