Hopf Algebras, Quantum Groups and Yang-Baxter Equations 2015
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (31 January 2016) | Viewed by 5235
Special Issue Editor
Interests: (co)algebras; bialgebras; Yang–Baxter equations; Lie (co)algebras; quantum groups; Hopf algebras; duality theories
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The Yang-Baxter Equation first appeared in theoretical physics, in a paper of the Nobel laureate C.N. Yang, and in statistical mechanics, in R.J. Baxter's work. 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 (quasitriangular Hopf algebras, Yetter-Drinfeld categories, Lie (super)algebras, algebra structures, Boolean algebras, brace structures, relations on sets, 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 Equation, the related algebraic structures, and their applications are invited. We would like to gather together relevant reviews, research articles, and communications.
Dr. Florin Felix Nichita
Guest Editor
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Keywords
- Yang-Baxter equation
- quantum groups
- link invariants
- virtual knot theory
- set-theoretical Yang-Baxter equation
- brace structure
- quasitriangular Hopf algebra
- braid group
- braided category
- classical Yang-Baxter equation
- Myhill-Nerode monoid
- Yang-Baxter system
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