Simple weight modules with finite-dimensional weight spaces over Witt superalgebras

DOI10.1016/J.JALGEBRA.2021.01.017zbMath1477.17058arXiv2001.04089OpenAlexW3126609514MaRDI QIDQ1998940

Yaohui Xue, Rencai Lü

Publication date: 9 March 2021

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

Full work available at URL: https://arxiv.org/abs/2001.04089

zbMATH Keywords

simple moduleweight moduleWitt superalgebraWitt algebrascuspidal module

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) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (10)

Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra ⋮ Affine Lie algebra representations induced from Whittaker modules ⋮ Bounded weight modules over the Lie superalgebra of Cartan \(W\)-type ⋮ Tensor modules over Witt superalgebras ⋮ Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra ⋮ Classification of simple bounded weight modules of the Lie algebra of vector fields on \(\mathbb{C}^n\) ⋮ Classification of simple Harish-Chandra modules over the \(N=1\) Ramond algebra ⋮ Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra ⋮ Irreducible modules over \(N = 2\) superconformal algebras arising from algebraic D-modules ⋮ Irreducible jet modules for the vector field Lie algebra on S1×C

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of irreducible representations of Lie algebra of vector fields on a torus
• Classification of irreducible weight modules over higher rank Virasoro algebras
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• A classification of indecomposable \(sl_ 2(\mathbb{C})\)-modules and a conjecture of Kac on irreducible modules over the Virasoro algebra
• Classification of simple cuspidal modules for solenoidal Lie algebras
• Weight modules over exp-polynomial Lie algebras
• Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
• Simple Lie color algebras of Weyl type
• SIMPLE MODULES OVER THE HIGH RANK VIRASORO ALGEBRAS
• Supports of weight modules over Witt algebras
• Jet Modules
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• CONFORMAL FIELDS: A CLASS OF REPRESENTATIONS OF Vect(N)
• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
• Simple Witt modules that are finitely generated over the cartan subalgebra
• Lie superalgebras

This page was built for publication: Simple weight modules with finite-dimensional weight spaces over Witt superalgebras