Abstract
We show that every bicovariant differential calculus over the quantum groupA defines a bialgebra structure on its exterior algebra. Conversely, every exterior bialgebra ofA defines bicovariant bimodule overA. We also study a quasitriangular structure on exterior Hopf algebras in some detail.
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Brzeziński, T. Remarks on bicovariant differential calculi and exterior Hopf algebras. Lett Math Phys 27, 287–300 (1993). https://doi.org/10.1007/BF00777376
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DOI: https://doi.org/10.1007/BF00777376