Special Issue "Hopf Algebras, Quantum Groups and Yang–Baxter Equations 2017"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (30 October 2017)
Dr. Florin Felix Nichita
Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
Website | E-Mail
Phone: + 40 244 598 194
Interests: (co)algebras; bialgebras; Yang–Baxter equations; Lie (co)algebras; quantum groups; Hopf algebras; duality theories; Jordan algebras; non-associative structures; topology; differential geometry
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
Manuscript Submission Information
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- 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