Special Issue "Hopf Algebras, Quantum Groups and Yang-Baxter Equations"

Guest Editor
Dr. Florin Felix Nichita
Institute of Mathematics "Simion Stoilow" of the Romanian Academy, P.O. Box 1-764, RO-70700, Bucharest, Romania
Website: http://www.imar.ro/organization/people/PRS/PRS_118.php?PAG=PRS
E-Mail: florin.nichita@imar.ro
Interests: (co)algebras; bialgebras; Yang-Baxter equations; Lie (co)algebras; quantum groups; Hopf algebras; duality theories

Dear Colleagues,

The Yang-Baxter equation first appeared in theoretical physics, in a paper (1968) by the Nobel laureate C.N. Yang, and in statistical mechanics, in R.J. Baxter's work (1971). Later, it turned out that this equation plays a crucial role in: quantum groups, knot theory, braided categories, analysis of integrable systems, quantum mechanics, non-commutative descent theory, quantum computing, non-commutative geometry, etc.

Many scientists have used the axioms of various algebraic structures (quasi-triangular Hopf algebras, Yetter-Drinfeld categories, Lie (super)algebras, algebra structures, Boolean algebras, etc) or computer calculations in order to produce solutions for the Yang-Baxter equation. However, the full classification of its solutions remains an open problem.

Contributions related to the various aspects of the Yang-Baxter equations, the related algebraic structures, and their applications are invited. We would like to gather together both relevant reviews (with historical notes, open problems or research directions) and research papers (on the new developments of the Yang-Baxter equations).

Dr. Florin Felix Nichita
Guest Editor

Submission

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• Yang-Baxter equation
• Yang-Baxter system
• Quantum Groups
• Hopf algebra
• braid group
• braided category