230 citations · 1.2k across the 72 of their papers we have counts for
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Hom-quantum groups I: quasi-triangular Hom-bialgebras
Donald Yau
We introduce a Hom-type generalization of quantum groups, called quasi-triangular Hom-bialgebras. They are non-associative and non-coassociative analogues of Drinfel'd's quasi-tria…
The classical Hom-Yang-Baxter equation and Hom-Lie bialgebras
Donald Yau
Motivated by recent work on Hom-Lie algebras and the Hom-Yang-Baxter equation, we introduce a twisted generalization of the classical Yang-Baxter equation (CYBE), called the classi…
The Hom-Yang-Baxter equation and Hom-Lie algebras
Donald Yau
Motivated by recent work on Hom-Lie algebras, a twisted version of the Yang-Baxter equation, called the Hom-Yang-Baxter equation (HYBE), was introduced by the author in an earlier…
Hom-Yang-Baxter equation, Hom-Lie algebras, and quasi-triangular bialgebras
Donald Yau
We study a twisted version of the Yang-Baxter Equation, called the Hom-Yang-Baxter Equation (HYBE), which is motivated by Hom-Lie algebras. Three classes of solutions of the HYBE a…