The authors build Hopf algebroids A_sigma with arbitrary base rings L from coefficients sigma satisfying a dynamical Yang-Baxter condition, and provide quasigroup examples that are not weak Hopf algebras.
Shibukawa: Hopf algebroids and rigid tensor categor ies associated with dynamical Yang-Baxter maps
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Construction of Hopf algebroids
The authors build Hopf algebroids A_sigma with arbitrary base rings L from coefficients sigma satisfying a dynamical Yang-Baxter condition, and provide quasigroup examples that are not weak Hopf algebras.