-Differential operators and -differential modules for the Virasoro algebra

DOI10.1080/03081087.2018.1451479zbMath1467.17003arXiv2002.03426OpenAlexW3106169996WikidataQ130108034 ScholiaQ130108034MaRDI QIDQ5378507

Li Guo, Xiangqian Guo, Xue-wen Liu

Publication date: 3 June 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03426

zbMATH Keywords

Witt algebraVirasoro algebradifferential modulesdifferential Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Linear transformations, semilinear transformations (15A04)

Related Items (9)

Representations and cohomologies of relative Rota-Baxter Lie algebras and applications ⋮ Universal enveloping of (modified) λ-differential Lie algebras ⋮ Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects ⋮ Cohomologies of difference Lie groups and the van Est theorem ⋮ Unnamed Item ⋮ Maurer-Cartan characterizations and cohomologies of crossed homomorphisms on Lie triple systems ⋮ Construction of free differential algebras by extending Gröbner-Shirshov bases ⋮ Deformations, cohomologies and integrations of relative difference Lie algebras ⋮ Derivations of the nongraded Witt algebra with coefficients in tensor modules

Cites Work

• A new family of modules over the Virasoro algebra
• Irreducible Virasoro modules from tensor products
• Irreducible modules over the Virasoro algebra
• Conformal field theory
• Irreducible Virasoro modules from irreducible Weyl modules
• Differential (Lie) algebras from a functorial point of view
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Irreducible Virasoro modules from tensor products. II
• Fraction representations and highest-weight-like representations of the Virasoro algebra
• On differential Rota-Baxter algebras.
• Difference algebra
• Simple Virasoro modules which are locally finite over a positive part
• A class of simple weight Virasoro modules
• Rational homotopy theory
• Tensor product weight modules over the Virasoro algebra
• Representation Theory of the Virasoro Algebra
• Simple Virasoro modules induced from codimension one subalgebras of the positive part
• WHITTAKER MODULES FOR THE VIRASORO ALGEBRA
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: -Differential operators and -differential modules for the Virasoro algebra