Representations of map extended Witt algebras

DOI10.1016/j.jalgebra.2023.10.013arXiv2212.04904MaRDI QIDQ6144367

Senapathi Eswara Rao, Ritesh Kumar Pandey, Sachin S. Sharma, Priyanshu Chakraborty

Publication date: 29 January 2024

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

Full work available at URL: https://arxiv.org/abs/2212.04904

zbMATH Keywords

highest weight modulesweight modulesmap algebrasWitt algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66)

Cites Work

• Classification of irreducible representations of Lie algebra of vector fields on a torus
• A categorical approach to Weyl modules
• Classification of irreducible quasifinite modules over map Virasoro algebras
• Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra
• Classification of irreducible weight modules over higher rank Virasoro algebras
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Multi-dimensional Weyl modules and symmetric functions
• Weight modules over exp-polynomial Lie algebras
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
• Irreducible Harish-Chandra modules over extended Witt algebras
• Irreducible representations for toroidal Lie-algebras
• Supports of weight modules over Witt algebras
• Simple Harish-Chandra modules, intermediate series modules, and Verma modules over the loop-Virasoro algebra
• Classification of Harish-Chandra Modules for Current Algebras
• CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG–VIRASORO ALGEBRA
• CONFORMAL FIELDS: A CLASS OF REPRESENTATIONS OF Vect(N)
• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
• Modules for loop Affine-Virasoro algebras
• Partial classification of irreducible modules for loop-Witt algebras
• Irreducible weight modules over Witt algebras
• Classification of irreducible integrable highest weight modules for current Kac–Moody algebras
• Irreducible finite-dimensional representations of equivariant map algebras
• Integrable modules for loop affine-Virasoro algebras
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