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- W2016127785 abstract "Given any bialgebra A and a braiding product 〈 | 〉 on A, a bialgebra U 〈 | 〉 was constructed in [R. Larson, J. Towber, Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum Lie algebra”, Comm. Algebra 19 (1991) 3295–3345], contained in the finite dual of A . This construction generalizes a (not very well known) construction of Fadeev, Reshetikhin and Takhtajan [L.D. Faddeev, N.Yu. Reshetikhin, L.A. Takhtajan, Quantum Groups. Braid Group, Knot Theory and Statistical Mechanics, in: Adv. Ser. Math. Phys., vol. 9, World Sci. Publishing, Teaneck, NJ, 1989, pp. 97–110]. In the present paper it is proved that when U 〈 | 〉 is finite-dimensional (even if A is not), then it is a quasitriangular Hopf algebra." @default.
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- W2016127785 date "2009-05-01" @default.
- W2016127785 modified "2023-09-27" @default.
- W2016127785 title "Hopf algebras constructed by the FRT-construction" @default.
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- W2016127785 doi "https://doi.org/10.1016/j.jpaa.2008.09.012" @default.
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