Hopf algebroids and rigid tensor categories associated with dynamical Yang-Baxter maps

DOI10.1016/j.jalgebra.2015.11.007zbMath1336.81042OpenAlexW2203518648MaRDI QIDQ907347

Youichi Shibukawa

Publication date: 25 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.11.007

zbMATH Keywords

Hopf algebroidsdynamical Yang-Baxter mapsrigid tensor categories

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

Quiver-theoretical approach to dynamical Yang-Baxter maps ⋮ Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets ⋮ Quantum groups for restricted SOS models

Cites Work

• Quantum Yang-Baxter equation, braided semigroups, and dynamical Yang-Baxter maps.
• Dynamical Yang-Baxter maps associated with homogeneous pre-systems
• Dynamical Yang-Baxter maps with an invariance condition
• FRT construction for dynamical Yang-Baxter maps
• Groups of algebras over \(A\otimes \bar A\)
• Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
• Yang-Baxter maps and integrable dynamics
• Hopf algebroids with bijective antipodes: axioms, integrals, and duals.
• Dynamical braces and dynamical Yang-Baxter maps
• 3D compatible ternary systems and Yang–Baxter maps
• On some unsolved problems in quantum group theory
• HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
• Quantum groupoids
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