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- W2003307922 abstract "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-triangular bialgebras, in which the non-(co)associativity is controlled by a twisting map. A family of quasi-triangular Hom-bialgebras can be constructed from any quasi-triangular bialgebra, such as Drinfel'd's quantum enveloping algebras. Each quasi-triangular Hom-bialgebra comes with a solution of the quantum Hom-Yang-Baxter equation, which is a non-associative version of the quantum Yang-Baxter equation. Solutions of the Hom-Yang-Baxter equation can be obtained from modules of suitable quasi-triangular Hom-bialgebras." @default.
- W2003307922 created "2016-06-24" @default.
- W2003307922 creator A5091487390 @default.
- W2003307922 date "2012-01-19" @default.
- W2003307922 modified "2023-10-03" @default.
- W2003307922 title "Hom-quantum groups: I. Quasi-triangular Hom-bialgebras" @default.
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