Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. II

DOI10.2977/prims/1195169665zbMath0785.35106OpenAlexW2026525976MaRDI QIDQ1190735

Takashi Takebe

Publication date: 26 September 1992

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195169665

zbMATH Keywords

Miura transformationBruhat decompositionToda lattice hierarchypseudo-regular solutionssmall cells

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items

Dressing operator approach to Moyal algebraic deformation of selfdual gravity ⋮ Integrable structure of melting crystal model with two \(q\)-parameters ⋮ Toda hierarchies and their applications ⋮ Pfaffian and determinantal tau functions ⋮ Generalized string equations for double Hurwitz numbers ⋮ Character expansion of matrix integrals ⋮ Fermionic construction of tau functions and random processes ⋮ Soliton theory, symmetric functions and matrix integrals ⋮ Linear operators with self-consistent coefficients and rational reductions of KP hierarchy ⋮ Quantum and classical aspects of deformed \(c=1\) strings ⋮ Toda lattice hierarchy and soliton equations on square lattice

Cites Work

• Solitons and infinite dimensional Lie algebras
• Representation theoretical meaning of the initial value problem for the Toda lattices hierarchy. I
• Geometric realization of conformal field theory on Riemann surfaces
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