RECTANGULAR YANG–BAXTER ALGEBRAS AND ALTERNATING A-TYPE INTEGRABLE VERTEX MODELS

DOI10.1142/S0219887805000946zbMath1080.82004MaRDI QIDQ5715649

No author found.

Publication date: 4 January 2006

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

vertex modelsalgebraic Bethe ansatzquantum spaces and homomorphisms

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Quantum field theory on lattices (81T25) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Noncommutative geometry in quantum theory (81R60) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• BAXTERIZATION
• Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
• YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
• New integrable quantum chains combining different kinds of spins
• Completeness of Bethe's states for the generalizedXXZmodel
• Integrable mixing of An−1 type vertex models
• Quantum Groups in Two-Dimensional Physics
• Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type

This page was built for publication: RECTANGULAR YANG–BAXTER ALGEBRAS AND ALTERNATING A-TYPE INTEGRABLE VERTEX MODELS