On ABCD algebras and associative Yang-Baxter equations
Abstract
In the present paper we consider the usage of associative Yang-Baxter equations in the theory of classical and quantum ABCD algebras [1]. Classical and quantum associative analogs of the generalized Fredel-Maillet equations for ABCD tensors [2, 3] are found. Two classes of examples — rational and trigonometric — of classical and quantum ABCD tensors satisfying these equations are considered in details.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Nuclear Physics B
- Volume
- 1023
- Pages
- 117313–117313
- Publication date
- 15 January 2026
- Language
- EN