Bounded weight modules of the Lie algebra of vector fields on ℂ2

DOI10.1142/S021949881750236XzbMath1386.17026arXiv1611.01821WikidataQ115245630 ScholiaQ115245630MaRDI QIDQ4594966

Andrew Cavaness, Dimitar Grantcharov

Publication date: 27 November 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01821

zbMATH Keywords

Lie algebralocalizationweight moduleCartan type

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 (9)

Whittaker category for the Lie algebra of polynomial vector fields ⋮ Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules ⋮ Bounded weight modules of the Lie algebra of vector fields on ℂ2 ⋮ Bounded weight modules over the Lie superalgebra of Cartan \(W\)-type ⋮ Tensor modules over Witt superalgebras ⋮ Classification of simple bounded weight modules of the Lie algebra of vector fields on \(\mathbb{C}^n\) ⋮ Representations of Lie algebras of vector fields on affine varieties ⋮ Simple weight modules with finite weight multiplicities over the Lie algebra of polynomial vector fields ⋮ Irreducible jet modules for the vector field Lie algebra on S1×C

Cites Work

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• On weight modules of algebras of twisted differential operators on the projective space
• Classification of irreducible representations of Lie algebra of vector fields on a torus
• Cominuscule parabolic subalgebras of simple finite dimensional Lie superalgebras
• Cuspidal representations of \(\mathfrak{sl}(n+1)\)
• Homology of the Lie algebra of vector fields on the line
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Weight representations of the polynomial Cartan type Lie algebras \(W_n\) and \(\overline S_n\)
• Classification of irreducible weight modules
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF TYPESSANDH
• Bounded weight modules of the Lie algebra of vector fields on ℂ2
• Twisted Localization of Weight Modules

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