3 papers
math.RA2019
Construction of Hopf algebroids
Yudai Otsuto, Youichi Shibukawa
For arbitrary algebras , we construct Hopf algebroids with base rings by means of satisfying suitable properties.
math.QA2016
Dynamical Yang-Baxter maps and Hopf algebroids associated with s-sets
Noriaki Kamiya, Youichi Shibukawa
An s-set is an algebraic generalization of the regular s-manifold introduced by Kowalski, one of the generalized symmetric spaces in differential geometry. We prove that suitable s…
math.QA2007
Dynamical Yang-Baxter Maps with an Invariance Condition
Youichi Shibukawa
By means of left quasigroups L=(L, .) and ternary systems, we construct dynamical Yang-Baxter maps associated with L, L, and (.) satisfying an invariance condition that the binary…