Abstract
ABSTRACT Starting from a Hopf algebra endowed with an action of a group π by Hopf automorphisms, we construct (by a “twisted” double method) a quasitriangular Hopf π-coalgebra. This method allows us to obtain non-trivial examples of quasitriangular Hopf π-coalgebras for any finite group π and for infinite groups π such as GL n (𝕂). In particular, we define the graded quantum groups, which are Hopf π-coalgebras for π = ℂ[[h]] l and generalize the Drinfeld-Jimbo quantum enveloping algebras.
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