A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation
Marco Castelli
TL;DR
This paper characterizes finite simple involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation using left braces, providing key examples to illustrate the concepts.
Contribution
It introduces a new characterization method for finite simple solutions via left braces, advancing understanding in the field.
Findings
Characterization of finite simple solutions using left braces
Identification of significant examples of such solutions
Enhanced understanding of the structure of Yang-Baxter solutions
Abstract
In this paper we present a characterization of finite simple involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation by means of left braces and we provide some significant examples.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Differential Equations Analysis · Fractional Differential Equations Solutions