Application of vertex algebras to the structure theory of certain representations over the Virasoro algebra

DOI10.1007/s10468-013-9428-9zbMath1364.17027arXiv1301.0737OpenAlexW3104790832MaRDI QIDQ458391

Gordan Radobolja

Publication date: 7 October 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0737

zbMATH Keywords

intertwining operatorvertex operator algebraVirasoro algebrahighest weight moduleminimal modelintermediate series

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (5)

A family of simple weight modules over the Virasoro algebra ⋮ Application of vertex algebras to the structure theory of certain representations over the Virasoro algebra ⋮ Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra ⋮ Tensor product weight modules of Schrödinger-Virasoro algebras ⋮ Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vertex algebras associated to modified regular representations of the Virasoro algebra
• Application of vertex algebras to the structure theory of certain representations over the Virasoro algebra
• An application of \(U(\mathfrak g)\)-bimodules to representation theory of affine Lie algebras
• Classification of simple weight Virasoro modules with a finite-dimensional weight space
• A characterization of vertex operator algebra \({L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}\)
• A new family of irreducible, integrable modules for affine Lie algebras
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• A class of representations over the Virasoro algebra
• Vertex operator algebras and irreducibility of certain modules for affine Lie algebras
• Introduction to vertex operator algebras and their representations
• Fusion rings for degenerate minimal models.
• A family of simple weight modules over the Virasoro algebra
• Simple Virasoro modules which are locally finite over a positive part
• A class of simple weight Virasoro modules
• Tensor product weight modules over the Virasoro algebra
• On axiomatic approaches to vertex operator algebras and modules
• Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra

This page was built for publication: Application of vertex algebras to the structure theory of certain representations over the Virasoro algebra