Classification of Simple Cuspidal Modules Over a Lattice Lie Algebra of Witt Type

DOI10.4153/S0008414X20000012zbMath1460.17013arXiv1809.04548WikidataQ115213841 ScholiaQ115213841MaRDI QIDQ5854686

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Publication date: 17 March 2021

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.04548

zbMATH Keywords

cuspidal module\(\mathcal{A}\mathcal{V}\)-modulelattice Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Poisson algebras (17B63)

Cites Work

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• Classification of irreducible representations of Lie algebra of vector fields on a torus
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Classification of the indecomposable bounded admissible modules over the Virasoro Lie algebra with weightspaces of dimension not exceeding two
• Classification of simple cuspidal modules for solenoidal Lie algebras
• Jet Modules
• Classification of simple Lie algebras on a lattice
• On the Mills-Seligman Axioms for Lie Algebras of Classical Type

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