A Bose-Fock space quantization of the Witt algebra

DOI10.1016/0034-4877(96)89761-8zbMath0965.22020OpenAlexW2076808056MaRDI QIDQ1373511

Ole Rask Jensen, Erik Bjerrum Nielsen

Publication date: 6 August 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)89761-8

zbMATH Keywords

Virasoro algebrabounded skew-adjoint operatorsLie algebra of operatorsrestricted symplectic Lie algebraSegal-Bargman transformationselfadjoint Hilbert-Schmidt operatorsweird Witt algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Applications of operator theory in the physical sciences (47N50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

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• Fock space representations of the Virasoro algebra. Intertwining operators
• Bose algebras: the complex and real wave representations
• Ultracoherence in Bose algebras
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS

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