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Graded quantum groups

Alexis Virelizier
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Abstract

Starting from a Hopf algebra endowed with an action of a group G by Hopf automorphisms, we construct (by a twisted double method) a quasitriangular Hopf G-coalgebra. This method allows us to obtain non-trivial examples of quasitriangular Hopf G-coalgebras for any finite group G and for infinite groups G such as GL(n,K). In particular, we define the graded quantum groups.

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Alexis Virelizier. 2003-12-17. Graded quantum groups. https://arxiv.org/abs/math/0312330

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