Unitary representations of the generalized Virasoro current algebra

DOI10.1007/BF01071337zbMath0715.17026MaRDI QIDQ5895293

I. V. Mikityuk

Publication date: 1990

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

unitary representationVerma moduleshighest weightgeneralized Virasoro current algebraunitary Fock representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) 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) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (1)

Realizations of conformal current-type Lie algebras

Cites Work

• Unnamed Item
• Unitary representations of the Virasoro and super-Virasoro algebras
• The Fock representations of the Virasoro algebra and the Hirota equations of the modified KP hierarchies
• Highest weight representations of the Neveu-Schwarz and Ramond algebras
• Details of the non-unitary proof for highest weight representations of the Virasoro algebra
• Interpolation of quasilinear operators and inequalities for entire functions in symmetric spaces
• Canonical factorization of continuous operator functions relative to the circle

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