Hopf Algebras, Quantum Groups and Monoidal Categories
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (25 November 2021) | Viewed by 1921
Special Issue Editors
Interests: noncommutative algebra; homological algebra; quantum groups; category theory
Special Issue Information
Dear Colleagues,
It is very well-known that group theory is the algebraic structure associated to symmetries. Hopf algebras, that generalized groups, models symmetries in a more broad sense. This structure appears in many fields of mathematics (algebraic topology, algebra, operator theory, combinatorics, Lie theory and algebraic geometry) and mathematical physic. The invention of quantum groups in the eighties stresses the relation with quantum mechanics and other part of physics. The fast development of research of Hopf algebras in recent times has open new areas of interest and important applications in other areas. We mention fusion categories, Nichols algebras, Quantum groups and Yang-Baxter equation, severals generalization of the structure of Hopf algebra (quasi-Hopf algebras, weak Hopf algebras, Hopf algebroids, etc...), 2-categories in Hopf algebras, classification of finite Hopf algebras and aplications in conformal field theory. The aim of this special issue is to collect recent papers concerning these topics.
Prof. Dr. Blas Torrecillas
Prof. Dr. Claudia Menini
Guest Editors
Manuscript Submission Information
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Keywords
- Hopf Algebras
- Quantum groups
- Monoidal Categories
- Fusion Categories
- Galois Theories
- Generalized Hopf Algebra Structures
- Yang-Baxter equations
- Categorical methods for Hopf Algebras