Factorization of the transfer matrices for the quantumsell(2) spin chains and Baxter equation

2005/12/31 by S. E. Derkachov, S É Derkachov, A. N. Manashov +1 · 2 citations
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:10.1088/0305-4470/39/16/003

published as J.Phys. A39 (2006) 4147-4160 · 14 pages, 9 figures, typos corrected

arxiv created 2006/01/17 · openalex publication_date 2006/03/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

It is shown that the transfer matrices of homogeneous s ℓ(2) invariant spin chains with generic spin, both closed and open, are factorized into the product of two operators. The latter satisfy the Baxter equation that follows from the structure of the reducible representations of the s ℓ(2) algebra.

Citations

• Boundary conditions for integrable quantum systems

Cited by

• Baxter operators for the noncompact quantumsl(3) invariant spin chain
• Noncompact sl(N) Spin Chains: BGG-Resolution, Q-Operators and Alternating Sum Representation for Finite-Dimensional Transfer Matrices