Self-inverse Yang-Baxter operators from (co)algebra structures

DOI10.1006/jabr.1999.7915zbMath0944.16033OpenAlexW1969704596MaRDI QIDQ1306913

Florin F. Nichita

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7915

zbMATH Keywords

coalgebrasquantum Yang-Baxter equationalgebrasbraid equation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (14)

Hom-Yang-Baxter equations and Hom-Yang-Baxter systems ⋮ Yang-Baxter equations, computational methods and applications ⋮ General twisting of algebras. ⋮ Introduction to the Yang-Baxter equation with open problems. ⋮ The duality between corings and ring extensions. ⋮ Semientwining structures and their applications. ⋮ Homologies of algebraic structures via braidings and quantum shuffles ⋮ LIFTING THEOREMS FOR TENSOR FUNCTORS ON MODULE CATEGORIES ⋮ Solutions of the Hom-Yang-Baxter equation from monoidal Hom-(co)algebra structures ⋮ Lie monads and dualities ⋮ Yang–Baxter Operators Arising from Algebra Structures and the Alexander Polynomial of Knots ⋮ Unification theories: new results and examples ⋮ Spectral-Parameter Dependent Yang–Baxter Operators and Yang–Baxter Systems From Algebra Structures ⋮ Algebra Structures Arising from Yang–Baxter Systems

Cites Work

• Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum lie algebra”
• Yang-baxter operators arising from (co)algebra structures
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