Whittaker modules for graded Lie algebras

DOI10.1007/S10468-010-9211-0zbMath1275.17020arXiv0902.3801OpenAlexW2072228008MaRDI QIDQ434428

Bin Wang

Publication date: 10 July 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3801

zbMATH Keywords

Whittaker vectorsWhittaker modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Graded Lie (super)algebras (17B70)

Related Items (10)

Whittaker modules for the planar Galilean conformal algebra and its central extension ⋮ Whittaker modules over loop Virasoro algebra ⋮ Whittaker modules and quasi-Whittaker modules for the Euclidean Lie algebra \(\mathfrak{e}(3)\) ⋮ Whittaker modules over some generalized Weyl algebras ⋮ New simple modules for the Heisenberg-Virasoro algebra ⋮ Simple restricted modules for the Heisenberg-Virasoro algebra ⋮ Blocks and modules for Whittaker pairs ⋮ Simple Schrödinger modules which are locally finite over the positive part ⋮ Quasi-Whittaker modules for the Schrödinger algebra ⋮ Whittaker pairs for the Virasoro algebra and the Gaiotto-Bonelli-Maruyoshi-Tanzini states

Cites Work

• Unnamed Item
• Whittaker modules for Heisenberg algebras and imaginary Whittaker modules for affine Lie algebras
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• On Whittaker vectors and representation theory
• The composition series of modules induced from Whittaker modules
• Quantum deformation of Whittaker modules and the Toda lattice.
• Whittaker modules for \(U_q(\mathfrak{sl}_2)\)
• Whittaker modules for generalized Weyl algebras
• WHITTAKER MODULES FOR THE VIRASORO ALGEBRA
• On algebraically irreducible representations of the Lie algebra sl(2)

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