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Abstract Set-theoretic solutions to the Yang–Baxter equation can be classified by their universal coverings and their fundamental groupoids. Extending previous results, universal coverings of irreducible involutive solutions are classified in… Click to show full abstract
Abstract Set-theoretic solutions to the Yang–Baxter equation can be classified by their universal coverings and their fundamental groupoids. Extending previous results, universal coverings of irreducible involutive solutions are classified in the degenerate case. These solutions are described in terms of a group with a distinguished self-map. The classification in the nondegenerate case is simplified and compared with the description in the degenerate case.
Keywords:
baxter equation;
equation arising;
solutions yang;
yang baxter;
uniconnected solutions
Journal Title: Canadian Mathematical Bulletin
Year Published: 2021
Link to full text (if available)
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Journal Title: Canadian Mathematical Bulletin
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!