Classification of simple bounded weight modules of the Lie algebra of vector fields on \(\mathbb{C}^n\)

DOI10.1007/s11856-022-2371-xOpenAlexW4306943617WikidataQ115377632 ScholiaQ115377632MaRDI QIDQ2698431

Rencai Lü, Yaohui Xue

Publication date: 24 April 2023

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

Full work available at URL: https://arxiv.org/abs/2001.04204

Mathematics Subject Classification ID

Groups and algebras in quantum theory (81Rxx) Lie algebras and Lie superalgebras (17Bxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (4)

Whittaker category for the Lie algebra of polynomial vector fields ⋮ Bounded weight modules over the Lie superalgebra of Cartan \(W\)-type ⋮ Tensor modules over Witt superalgebras ⋮ Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra

Cites Work

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• Classification of irreducible representations of Lie algebra of vector fields on a torus
• Cuspidal \(\mathfrak{sl}_n\)-modules and deformations of certain Brauer tree algebras
• Classification of irreducible weight modules over higher rank Virasoro algebras
• Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus
• Cuspidal representations of \(\mathfrak{sl}(n+1)\)
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Weight representations of the polynomial Cartan type Lie algebras \(W_n\) and \(\overline S_n\)
• Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules
• Classification of simple cuspidal modules for solenoidal Lie algebras
• Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
• Simple weight modules with finite-dimensional weight spaces over Witt superalgebras
• SIMPLE MODULES OVER THE HIGH RANK VIRASORO ALGEBRAS
• Supports of weight modules over Witt algebras
• Weight modules over infinite dimensional Weyl algebras
• Jet Modules
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• CONFORMAL FIELDS: A CLASS OF REPRESENTATIONS OF Vect(N)
• Bounded weight modules of the Lie algebra of vector fields on ℂ2
• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus

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