Yang-Baxter systems, algebra factorizations and braided categories.

DOI10.3390/axioms2030437zbMath1304.16039OpenAlexW2078101089WikidataQ114032294 ScholiaQ114032294MaRDI QIDQ402329

Florin F. Nichita

Publication date: 28 August 2014

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms2030437

zbMATH Keywords

braided categoriesalgebra factorizationsYang-Baxter systems

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) Hopf algebras and their applications (16T05) Yang-Baxter equations (16T25)

Related Items (3)

Yang-Baxter equations, computational methods and applications ⋮ On transcendental numbers ⋮ The Yang-Baxter equation, (quantum) computers and unifying theories

Cites Work

• Introduction to the Yang-Baxter equation with open problems.
• Gradings, braidings, representations, paraparticles: some open problems
• Quasitriangular structure of Myhill-Nerode bialgebras
• The duality between corings and ring extensions.
• From coalgebra to bialgebra for the six-vertex model: the star-triangle relation as a necessary condition for commuting transfer matrices
• Hopf algebra symmetries of an integrable Hamiltonian for anyonic pairing
• The Hecke bicategory
• QUANTUM INTEGRABILITY OF NON-ULTRALOCAL MODELS THROUGH BAXTERIZATION OF QUANTIZED BRAIDED ALGEBRA
• Entwining Yang-Baxter maps and integrable lattices
• 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
• Unnamed Item
• Unnamed Item

This page was built for publication: Yang-Baxter systems, algebra factorizations and braided categories.