Inhomogeneous quantum Lie algebras
量子代数
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/9906135,
title = {Inhomogeneous quantum Lie algebras},
author = {P. P. Kulish and A. I. Mudrov},
journal= {arXiv preprint arXiv:math/9906135},
year = {2007}
}
备注
18 pages, LaTeX