Mathematics – Quantum Algebra
Scientific paper
2003-12-17
Mathematics
Quantum Algebra
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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