Irreducible weight modules over the Schrödinger Lie algebra in \((n+1)\) dimensional space-time

DOI10.1016/j.jalgebra.2021.01.034OpenAlexW3131635234WikidataQ115350400 ScholiaQ115350400MaRDI QIDQ2662152

Yanyan Li

Publication date: 9 April 2021

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

Full work available at URL: https://arxiv.org/abs/2001.01380

zbMATH Keywords

differential operatorweight moduleirreducible moduleSchrödinger Lie 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) Applications of Lie (super)algebras to physics, etc. (17B81) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (9)

2-Local derivations on Schrödinger algebra in (2 + 1)- dimensional space-time ⋮ Derivations and biderivations of the n-th Schrödinger algebra ⋮ Derivations and Biderivations of the Schrödinger algebra in (n + 1)-dimensional space-time ⋮ Electrical Lie algebras, the Schrödinger algebras and their representations ⋮ Quasi-Whittaker modules for the \(n\)-th Schrödinger algebra ⋮ Zero product determined \(n\)-th Schrödinger algebra ⋮ 2-local derivations on the Schrödinger algebra ⋮ U (h)-free modules on n -th Schrödinger algebra ⋮ Whittaker modules and quasi-Whittaker modules for the Schrödinger algebra in \((2 + 1)\)-dimensional spacetime

Cites Work

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• Classification of irreducible weight modules
• Simple Schrödinger modules which are locally finite over the positive part
• Classification of simple weight modules with finite-dimensional weight spaces over the Schrödinger algebra
• On simple modules over conformal Galilei algebras
• Weight modules over infinite dimensional Weyl algebras
• Lie Algebra Modules with Finite Dimensional Weight Spaces, I

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