On braided FRT-construction

Mathematics – Quantum Algebra

Scientific paper

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12 pages, latex, 6 figures prepared by latex, To appear in {\it J. Nonlinear Math. Phys.}

Scientific paper

Fully braided analog of Faddeev-Reshetikhin-Takhtajan construction of quasitriangular bialgebra $A(X,R)$ is proposed. For given pairing $C$ factor-algebra $A(X,R;C)$ is a dual quantum braided group. Corresponding inhomogeneous quantum group is obtained as a result of generalized bosonization. Construction of first order bicovariant differential calculus is proposed.

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