Some modules over Lie algebras related to the Virasoro algebra

DOI10.2969/jmsj/80488048zbMath1464.17029OpenAlexW2955350430WikidataQ115224878 ScholiaQ115224878MaRDI QIDQ2176570

Yucai Su, Guo-Bo Chen, Jianzhi Han

Publication date: 5 May 2020

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1562033193

zbMATH Keywords

Virasoro algebravertex algebrairreducible modulerestricted module

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (2)

The Heisenberg-Virasoro Lie conformal superalgebra ⋮ Simple restricted modules over the \(N = 1\) Ramond algebra as weak modules for vertex operator superalgebras

Cites Work

• Modules over the algebra \(\mathcal{V}ir(a,b)\)
• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
• Introduction to vertex operator algebras and their representations
• A family of new simple modules over the Schrödinger-Virasoro algebra
• Local systems of vertex operators, vertex superalgebras and modules
• New simple modules for the Heisenberg-Virasoro algebra
• Simple Virasoro modules which are locally finite over a positive part
• Low-Dimensional Cohomology Groups of the Lie Algebras W(a,b)
• Modular invariance of characters of vertex operator algebras

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