On ABCD algebras and associative Yang-Baxter equations
Year: 2026
Type: article
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.
Source: Nuclear Physics B
Author: T. Skrypnyk
Institution: Bogolyubov Institute for Theoretical Physics
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7124425049