Irreducible Modules for the Lie Algebra of Divergence Zero Vector Fields on a Torus

DOI10.1080/00927872.2015.1027396zbMath1342.17005arXiv1411.4087OpenAlexW2295724805MaRDI QIDQ2810643

John Talboom

Publication date: 3 June 2016

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

Full work available at URL: https://arxiv.org/abs/1411.4087

zbMATH Keywords

irreducible representationsweight moduleLie algebra of 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 (7)

ACTIONS OF MONOIDAL CATEGORIES AND REPRESENTATIONS OF CARTAN TYPE LIE ALGEBRAS ⋮ Classification of category \(\mathcal{J}\) modules for divergence zero vector fields on a torus ⋮ Non-weight representations of Cartan type S Lie algebras ⋮ Irreducible modules over the divergence zero algebras and their \(q\)-analogues ⋮ Derivations and automorphism group for divergence zero vector fields on torus ⋮ Simple modules over the Lie algebras of divergence zero vector fields on a torus ⋮ Partial classification of modules for the algebra of skew-derivations over the d-dimensional torus

Cites Work

• Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• Irreducible weight modules over Witt algebras

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