Rota–Baxter Algebras, Hopf Algebras and Their Representations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "A: Algebra and Logic".
Deadline for manuscript submissions: 30 April 2027 | Viewed by 40
Editors
Interests: Hopf algebra; Rota–Baxter algebra
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Rota–Baxter algebra has its origin in the work of G. Baxter in probability in 1960 and was studied by Atkinson, Cartier and Rota in its early years. Moreover, in recent years, extensive applications and connections with Hopf algebras have been developed. Recent studies in this subject have touched upon even broader areas of research, as illustrated below.
This Special Issue welcomes original research papers on Rota–Baxter algebras, Hopf algebras and their representation theories. Due to the strong and varied connections between Rota–Baxter algebraic structures, Hopf algebras and mathematical physics, the acceptable topics include but are not limited to:
- Rota–Baxter-related operators on other structures, such as Hopf algebras, Lie algebras, pseudoalgebras, family algebras, groups, skew braces, Hopf braces and lattices;
- Other Rota–Baxter type operators on different algebraic structures, such as differential operators, Nijenhuis operators, averaging operators and Reynolds operators;
- O-operators (aka relative Rota–Baxter operators), and multi-operators;
- Hopf algebras, including generalized Hopf algebras, such as weak Hopf algebras, quasi-Hopf algebras, multiplier Hopf algebras, etc., and their representation and homology;
- Deformation and homotopy theory in Rota–Baxter algebra and Hopf algebra;
- Yang–Baxter equations and related algebraic structures;
- Algebraic combinatorics and their structures;
- Renormalization issues in mathematics and physics;
- Categorical, operadic and universal algebra aspects.
Dr. Liangyun Zhang
Dr. Huihui Zheng
Guest Editors
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Keywords
- Rota–Baxter operators and Rota–Baxter algebras
- differential operators and differential algebras
- Hopf algebras and post-Hopf algebras
- skew braces and Hopf braces
- Yang–Baxter equations
- quantum groups
- category
- algebraic combinatorics
- renormalization
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