On the indecomposable involutive set-theoretic solutions of the Yang-Baxter equation of prime-power size
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1710163
Abstract: Abstract We develop a method to construct all the indecomposable involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation with a prime-power number of elements and cyclic permutation group. Moreover, we give a complete classification of… read more here.
Keywords: solutions yang; baxter equation; theoretic solutions; indecomposable involutive ... See more keywords
Classification of indecomposable involutive set-theoretic solutions to the Yang–Baxter equation
Sign Up to like & getrecommendations! Published in 2020 at "Forum Mathematicum"
DOI: 10.1515/forum-2019-0274
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… read more here.
Keywords: solutions yang; involutive set; indecomposable involutive; theoretic solutions ... See more keywords