Yang-Baxter equation and representation theory: I
Copyright policy )Yang-Baxter equation and representation theory: I
The problem of constructing the GL(N,ℂ) solutions to the Yang-Baxter equation (factorizedS-matrices) is considered. In caseN=2 all the solutions for arbitrarily finite-dimensional irreducible representations of GL(2,ℂ) are obtained and their eigenvalues are calculated. Some results for the caseN>2 are also presented.
- Steklov Mathematical Institute Russian Federation
- Department of Mathematical Sciences Russian Federation
Lie algebras of linear algebraic groups, Partial differential equations of mathematical physics and other areas of application, invariant solutions, Exceptional (super)algebras, R- matrix, Yang-Baxter equation, finite-dimensional irreducible representations, representation theory, \(S\)-matrix theory, etc. in quantum theory
Lie algebras of linear algebraic groups, Partial differential equations of mathematical physics and other areas of application, invariant solutions, Exceptional (super)algebras, R- matrix, Yang-Baxter equation, finite-dimensional irreducible representations, representation theory, \(S\)-matrix theory, etc. in quantum theory
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