Graded quantum groups

Mathematics – Quantum Algebra

Scientific paper

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18 pages

Scientific paper

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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