3 papers
math.QA2019
Enumeration of racks and quandles up to isomorphism
Petr Vojtěchovský, Seung Yeop Yang
Racks and quandles are prominent set-theoretical solutions of the Yang-Baxter equation. We enumerate racks and quandles of orders up to isomorphism, improving upon the pr…
math.GT2019
Set-theoretic Yang-Baxter (co)homology theory of involutive non-degenerate solutions
Józef H. Przytycki, Petr Vojtěchovský, Seung Yeop Yang
W. Rump showed that there exists a one-to-one correspondence between involutive right non-degenerate solutions of the Yang-Baxter equation and Rump right quasigroups. J. S. Carter,…
math.GT2017
A prismatic classifying space
J. Scott Carter, Victoria Lebed, Seung Yeop Yang
A qualgebra is a set having two binary operations that satisfy compatibility conditions which are modeled upon a group under conjugation and multiplication. We develop a homolo…