The Fock representations of the Virasoro algebra and the Hirota equations of the modified KP hierarchies

zbMath0596.17014MaRDI QIDQ1078311

Minoru Wakimoto, Hiro-Fumi Yamada

Publication date: 1986

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

zbMATH Keywords

highest weight modulesVirasoro algebraoscillator representationsbosonic Fock space representationsKadomtsev-Petviashvili hierarchies

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (11)

Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials ⋮ Virasoro action on the \(Q\)-functions ⋮ Pfaffian identities and Virasoro operators ⋮ Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules ⋮ A novel realization of the Virasoro algebra in number state space ⋮ Unitary representations of the generalized Virasoro current algebra ⋮ Conformal Galilei algebras, symmetric polynomials and singular vectors ⋮ Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1 ⋮ Superconformal field theory and Jack superpolynomials ⋮ Fusion rules for the free bosonic orbifold vertex operator algebra ⋮ Superconformal minimal models and admissible Jack polynomials

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