Simple weight modules with finite weight multiplicities over the Lie algebra of polynomial vector fields

DOI10.1515/crelle-2022-0053zbMath1502.17009arXiv2102.09064OpenAlexW3131510220WikidataQ115236865 ScholiaQ115236865MaRDI QIDQ2093197

Dimitar Grantcharov, Vera V. Serganova

Publication date: 7 November 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09064

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) Graded Lie (super)algebras (17B70)

Related Items (3)

Annihilators of \(A\mathcal{V}\)-modules and differential operators ⋮ Bounded weight modules over the Lie superalgebra of Cartan \(W\)-type ⋮ \(\mathcal{AV}\) modules of finite type on affine space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• 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 \(\overline S_n\)
• Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules
• Classification of irreducible weight modules
• Lie Algebra Modules with Finite Dimensional Weight Spaces, I
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF TYPESSANDH
• CONFORMAL FIELDS: A CLASS OF REPRESENTATIONS OF Vect(N)
• Bounded weight modules of the Lie algebra of vector fields on ℂ2
• On the structure of weight modules

This page was built for publication: Simple weight modules with finite weight multiplicities over the Lie algebra of polynomial vector fields