Fock space representations of Virasoro algebra and intertwining operators

DOI10.3792/pjaa.62.12zbMath0611.17006OpenAlexW1969506068MaRDI QIDQ1087627

Akihiro Tsuchiya, Yukihiro Kanie

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.12

zbMATH Keywords

Verma modulesintertwining operatorsVirasoro algebracentral extensiondeterminant formulaLie algebra of polynomial vector fieldsFock space representations

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

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Cites Work

• Fock space representations of the Virasoro algebra. Intertwining operators
• Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
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