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Inhomogeneous quantum Lie algebras

P. P. Kulish·A. I. Mudrov
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Abstract

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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P. P. Kulish, A. I. Mudrov. 1999-06-21. Inhomogeneous quantum Lie algebras. https://arxiv.org/abs/math/9906135

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