Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation
نویسندگان
چکیده
Abstract Let H be a Hopf algebra that is $\mathbb Z$ ? -graded as an algebra. We provide sufficient conditions for 2-cocycle twist of to Zhang . In particular, we introduce the notion twisting pair such by twist. use pairs describe twists Manin’s universal quantum groups associated with quadratic algebras and solutions Yang-Baxter equation via Faddeev-Reshetikhin-Takhtajan construction.
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2022
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-022-09779-9