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► Journal MenuSpecial Issue "Hopf Algebras, Quantum Groups and YangBaxter Equations"
A special issue of Axioms (ISSN 20751680).
Deadline for manuscript submissions: closed (1 July 2012)
Special Issue Editors
Guest Editor
Dr. Florin Felix Nichita


Guest Editor
Dr. Florin Felix Nichita

Special Issue Information
Dear Colleagues,
The YangBaxter 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, noncommutative descent theory, quantum computing, noncommutative geometry, etc.
Many scientists have used the axioms of various algebraic structures (quasitriangular Hopf algebras, YetterDrinfeld categories, Lie (super)algebras, algebra structures, Boolean algebras, etc) or computer calculations in order to produce solutions for the YangBaxter equation. However, the full classification of its solutions remains an open problem.
Contributions related to the various aspects of the YangBaxter 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 YangBaxter equations).
Dr. Florin Felix Nichita
Guest Editor
Keywords
 YangBaxter equation
 YangBaxter system
 Quantum Groups
 Hopf algebra
 braid group
 braided category
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