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Abstract Using the theory of cycle sets and braces, non-degenerate indecomposable involutive set-theoretic solutions to the Yang–Baxter equation are classified in terms of their universal coverings and their fundamental group.… Click to show full abstract
Abstract Using the theory of cycle sets and braces, non-degenerate indecomposable involutive set-theoretic solutions to the Yang–Baxter equation are classified in terms of their universal coverings and their fundamental group. The universal coverings are characterized as braces with an adjoint orbit generating the additive group. Using this description, all coverings of non-degenerate indecomposable cycle sets are classified. The method is illustrated by examples.
Keywords:
solutions yang;
involutive set;
indecomposable involutive;
theoretic solutions;
set theoretic;
yang baxter
Journal Title: Forum Mathematicum
Year Published: 2020
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Journal Title: Forum Mathematicum
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!