Special Issue "Non-associative Structures and Other Related Structures"
Deadline for manuscript submissions: closed (20 December 2019) | Viewed by 9129
A printed edition of this Special Issue is available here.
Interests: (co)algebras; bialgebras; Yang–Baxter equations; Lie (co)algebras; quantum groups; Hopf algebras; duality theories
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Special Issue in Axioms: Non-associative Structures, Yang–Baxter Equations and Related Topics
Special Issue in Axioms: Yang-Baxter Equations, Nonassociative Structures and Applications—In Memoriam, Stefan Papadima
Non-associative algebras are currently a fashionable research direction. There are two important classes of non-associative structures: Lie structures and Jordan structures. Various Jordan structures play an important role in quantum group theory and in fundamental physical theories.
In recent years, several attempts to unify non-associative structures have led to interesting results. The UJLA structures are not the only structures which realize such a unification.
Associative algebras and Lie algebras can be unified at the level of Yang–Baxter structures. Several papers published in the open access journal Axioms deal with the Yang–Baxter equation.
The Yang–Baxter equation can be interpreted in terms of logical circuits and, in logic, it represents a kind of compatibility condition when working with many logical sentences in the same time. This equation is also related to the theory of universal quantum gates and to quantum computers. It has many applications in quantum groups and knot theory.
Contributions related to non-associative structures, various aspects of the Yang–Baxter Equation, and their applications are invited.
Dr. Florin Felix Nichita
Manuscript Submission Information
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- Yang–Baxter equation
- Non-associative algebras
- Lie structures
- Jordan structures
- Associative algebras
- Unification theories
- Noncommutative algebras
- Applications in physics
- Knot invariants