Quasi-Whittaker modules for the Schrödinger algebra

DOI10.1016/j.laa.2014.09.001zbMath1298.17012arXiv1311.4855OpenAlexW2963169151MaRDI QIDQ744111

D. Kharzeev

Publication date: 6 October 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4855

zbMATH Keywords

simple modulesSchrödinger algebralocally finite modulesquasi-Whittaker modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65)

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Cites Work

• Unnamed Item
• Whittaker modules for graded Lie algebras
• Blocks and modules for Whittaker pairs
• Irreducible modules over the Virasoro algebra
• 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
• Lowest weight representations of the Schrödinger algebra and generalized heat/Schrödinger equations
• Quantum deformation of Whittaker modules and the Toda lattice.
• Simple weight modules for Schrödinger algebra
• On Whittaker modules over a class of algebras similar to \(U ( sl _{2})\)
• Generalized oscillator representations of the twisted Heisenberg-Virasoro algebra
• Simple Schrödinger modules which are locally finite over the positive part
• New simple modules for the Heisenberg-Virasoro algebra
• Classification of simple weight modules with finite-dimensional weight spaces over the Schrödinger algebra
• On simple modules over conformal Galilei algebras
• Whittaker modules for \(U_q(\mathfrak{sl}_2)\)
• Simple Virasoro modules which are locally finite over a positive part
• Whittaker modules over Virasoro-like algebra
• Whittaker modules for generalized Weyl algebras
• WHITTAKER MODULES FOR THE VIRASORO ALGEBRA
• The optical group and its subgroups
• (1+1) Schrödinger Lie bialgebras and their Poisson-Lie groups
• Whittaker modules for the Schrödinger–Witt algebra
• Finite dimensional indecomposable modules for Schrödinger algebra

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