Spectral-Parameter Dependent Yang–Baxter Operators and Yang–Baxter Systems From Algebra Structures

DOI10.1080/00927870600651661zbMath1099.81039arXivmath/0607710OpenAlexW2063371316MaRDI QIDQ5489249

Deepak Parashar, Florin F. Nichita

Publication date: 25 September 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607710

zbMATH Keywords

FRT constructionYang-Baxter systemtwo-parameter quantum Yang-Baxter equation

Mathematics Subject Classification ID

Related Items (4)

Hom-Yang-Baxter equations and Hom-Yang-Baxter systems ⋮ Yang-Baxter equations, computational methods and applications ⋮ Introduction to the Yang-Baxter equation with open problems. ⋮ Semientwining structures and their applications.

Cites Work

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• Yang-Baxter maps and integrable dynamics
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• The coloured quantum plane
• A METHOD FOR OBTAINING QUANTUM DOUBLES FROM THE YANG-BAXTER R-MATRICES
• QUANTUM INTEGRABILITY OF NON-ULTRALOCAL MODELS THROUGH BAXTERIZATION OF QUANTIZED BRAIDED ALGEBRA
• On solutions of the Yang-Baxter equations without additivity
• Solving the two-dimensional constant quantum Yang–Baxter equation
• Duals of colored quantum universal enveloping algebras and colored universal 𝒯-matrices
• Colored quantum universal enveloping algebras
• Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type
• Yang-baxter operators arising from (co)algebra structures
• SOLUTION OF THE YANG–BAXTER SYSTEM FOR QUANTUM DOUBLES
• Construction of quantum doubles from solutions of Yang-Baxter system

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