scientific article

zbMath0748.17021MaRDI QIDQ4011447

Victor G. Kac, Johan W. van de Leur

Publication date: 27 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Lie superalgebrasymmetry algebrasuper boson-fermion correspondencesuper Hirota bilinear equationssuper BKP hierarchiessuper KP

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Graded Lie (super)algebras (17B70)

Related Items (10)

Super modified KP hierarchy in Kac–van de Leur construction ⋮ Super Hirota bilinear equations for the super modified BKP hierarchy ⋮ The geometry of the super KP flows ⋮ Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras ⋮ Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies ⋮ Twisted vertex algebras, bicharacter construction and boson-fermion correspondences ⋮ Bernstein operators and super-Schur functions: combinatorial aspects ⋮ Correlation functions of charged free boson and fermion systems ⋮ Semi-infinite Weil complex and the Virasoro algebra ⋮ Semi-infinite homological algebra

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