2008/09/30 by S. E. Derkachov, Sergey É Derkachov, A. N. Manashov +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Matrix Theory and Algorithms #hep-th #nlin.SI
paper · pdf · doi:10.1088/1751-8113/42/7/075204
published as J.Phys.A42:075204,2009 · 41 pages, 5 figures, published version
openalex publication_date 2009/01/21 · arxiv created 2009/02/12 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/30
We develop an approach for constructing the Baxter -operators for generic sl ( N ) spin chains. The key element of our approach is the possibility of representing a solution of the Yang–Baxter equation in the factorized form. We prove that such a representation holds for a generic sl ( N ) invariant -operator and find the explicit expression for the factorizing operators. Taking trace of monodromy matrices constructed of the factorizing operators one defines a family of commuting (Baxter) operators on the quantum space of the model. We show that a generic transfer matrix factorizes into the product of N Baxter -operators and discuss an application of this representation for a derivation of functional relations for transfer matrices.