Integrable Quantum Systems and Classical Lie Algebras. (In Russian)
198656 pages
Published in:
- Commun.Math.Phys. 113 (1987) 471-503
DOI:
Report number:
- IFVE-86-206
Citations per year
Abstract: (Springer)
We have obtained six new infinite series of trigonometric solutions to triangle equations (quantumR-matrices) associated with the nonexceptional simple Lie algebras:sl(N),sp(N),o(N). TheR-matrices are given in two equivalent representations: in an additive one (as a sum of poles with matrix coefficients) and in a multiplicative one (as a ratio of entire matrix functions). TheseR-matrices provide an exact integrability of anisotropic generalizations ofsl(N),sp(N),o(N) invariant one-dimensional lattice magnetics and two-dimensional periodic Toda lattices associated with the above algebras.- FIELD THEORY: COMPLETELY INTEGRABLE
- ALGEBRA: LIE
- ALGEBRA: REPRESENTATION
- LATTICE: TODA
- S-MATRIX
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