Inhomogeneous quantum Lie algebras

Details Inhomogeneous quantum Lie algebras Inhomogeneous quantum Lie algebras

1999-06-21

arxiv.org/abs/math/9906135v1

Mathematics

Quantum Algebra

18 pages, LaTeX

Scientific paper

We study quantization of a class of inhomogeneous Lie bialgebras which are crossproducts in dual sectors with Abelian invariant parts. This class forms a category stable under dualization and the double operations. The quantization turns out to be a functor commuting with them. The Hopf operations and the universal R-matrices are given in terms of generators. The quantum algebras obtained appear to be isomorphic to the universal enveloping Poisson-Lie algebras on the dual groups.

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