GL/sub 3/-invariant solutions of the Yang-Baxter equation and associated quantum systems

Journal Article · Wed Sep 10 04:00:00 EDT 1986 · J. Sov. Math.; (United States)

DOI:https://doi.org/10.1007/BF01095104· OSTI ID:5551279

Kulish, P P; Reshetikhin, N Yu

GL/sub 3/-invariant, finite-dimensional solutions of the Yang-Baxter equations acting in the tensor product of two irreducible representations of the group GL/sub 3/ are investigated. A number of relations are obtained for the transfer matrices which demonstrate the connection of representation theory and the Bethe Ansatz in GL/sub 3/-invariant models. Some of the most interesting quantum and classical integrable systems connected with GL/sub 3/-invariant solutions of the Yang-Baxter equation are presented.

• OSTI ID: 5551279
• Journal Information: J. Sov. Math.; (United States), Journal Name: J. Sov. Math.; (United States) Vol. 34:5; ISSN JSOMA
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CLEBSCH-GORDAN COEFFICIENTS
CRYSTAL MODELS
DIFFERENTIAL EQUATIONS
EIGENVALUES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GRADED LIE GROUPS
GROUP THEORY
HEISENBERG MODEL
INVARIANCE PRINCIPLES
INVERSE SCATTERING PROBLEM
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
MATRICES
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SCHROEDINGER EQUATION
SINE-GORDON EQUATION
SPIN
SYMMETRY GROUPS
TENSORS
TRANSFORMATIONS
WAVE EQUATIONS