Ferran Ced\u00f3 (Universitat Aut\u00f2noma de Barcelona)<\/p>\n
Indecomposable solutions of the Yang-Baxter equation of square-free cardinality<\/em><\/p>\n Abstract: Let $p_1,\\dots,p_n$ be distinct prime numbers. Let $m_1,\\dots,m_n$ be positive integers such that $m_1+\\cdots+m_n>n$ . In previous joint work with J. Okni\\'{n}ski, we proved that there exist simple involutive non-degenerate set-theoretic solutions $(X,r)$ of the Yang-Baxter equation with $|X|=p_1^{m_1}\\cdots p_n^{m_n}$. A natural question is asked: If $n>1$, is there a simple involutive non-degenerate set-theoretic solution $(X,r)$ of the Yang-Baxter equation with $|X|=p_1\\cdots p_n$?<\/p>\n In this talk, I will answer this question.<\/p>\n This is joint work with J. Okni\\'{n}ski<\/p>\n","protected":false},"excerpt":{"rendered":" Ferran Ced\u00f3 (Universitat Aut\u00f2noma de Barcelona) Indecomposable solutions of the Yang-Baxter equation of square-free cardinality Abstract: Let $p_1,\\dots,p_n$ be distinct prime numbers. Let $m_1,\\dots,m_n$ be positive integers such that $m_1+\\cdots+m_n>n$ . In previous joint work with J. Okni\\'{n}ski, we proved that there exist simple involutive non-degenerate set-theoretic solutions $(X,r)$ of the Yang-Baxter equation with $|X|=p_1^{m_1}\\cdots … <\/p>\n