Central bialgebras in Braided Categories and Coquasitriangular Structures

Details Central bialgebras in Braided Categories and Coquasitriangular Structures Central bialgebras in Braided Categories and Coquasitriangular Structures

1996-01-12

arxiv.org/abs/q-alg/9601008v2

J. of Pure and Applied Alg., 140(1999), 229-250

Mathematics

Quantum Algebra

Latex file, 24 page, elsart, bezier.sty

Scientific paper

Central bialgebras in a braided category $\C$ are algebras in the center of the category of coalgebras in $\C$. On these bialgebras another product can be defined, which plays the role of the opposite product. Hence, coquasitriangular structures on central bialgebras can be defined. We prove some properties of the antipode on coquasitriangular central Hopf algebras and give a characterization of central bialgebras.

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