Category $\mathcal{J}$ Modules for Hamiltonian Vector Fields on a Torus

zbMath1441.17009arXiv1610.09544MaRDI QIDQ4557946

John Talboom

Publication date: 27 November 2018

Full work available at URL: https://arxiv.org/abs/1610.09544

zbMATH Keywords

irreducible representationsweight moduleindecomposable representationsLie algebra of Hamiltonian vector fields

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66)

Related Items (1)

Hamiltonian extended affine Lie algebra and its representation theory

Cites Work

• Partial classification of cuspidal simple modules for Virasoro-like algebra
• Classification of category \(\mathcal{J}\) modules for divergence zero vector fields on a torus
• Irreducible representations for toroidal Lie algebras
• Weight modules over exp-polynomial Lie algebras
• Jordan-Chevalley decomposition in finite dimensional Lie algebras
• Jet Modules
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus

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