YANG–BAXTER SYSTEMS AND ENTWINING STRUCTURES

DOI10.1081/AGB-200053815zbMath1085.16028arXivmath/0311171OpenAlexW2001203350MaRDI QIDQ4681027

Tomasz Brzeziński, Florin F. Nichita

Publication date: 14 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0311171

zbMATH Keywords

coalgebrasYang-Baxter equationentwining structuresYang-Baxter systemsYang-Baxter operators

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (4)

Hom-Yang-Baxter equations and Hom-Yang-Baxter systems ⋮ Yang-Baxter equations, computational methods and applications ⋮ Semientwining structures and their applications. ⋮ Set-theoretic solutions of the Yang-Baxter equation and new classes of \(\mathrm{R}\)-matrices

Cites Work

• On modules associated to coalgebra Galois extensions
• Coalgebra bundles
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• A METHOD FOR OBTAINING QUANTUM DOUBLES FROM THE YANG-BAXTER R-MATRICES
• QUANTUM INTEGRABILITY OF NON-ULTRALOCAL MODELS THROUGH BAXTERIZATION OF QUANTIZED BRAIDED ALGEBRA
• Coalgebra extensions and algebra coextensions of galois type
• 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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