Knit products of graded Lie algebras and groups
Group Theory
2016-09-06 v1 Rings and Algebras
Abstract
If a graded Lie algebra is the direct sum of two graded sub Lie algebras, its bracket can be written in a form that mimics a "double sided semidirect product". It is called the {\it knit product} of the two subalgebras then. The integrated version of this is called a {\it knit product} of groups --- it coincides with the {\it Zappa-Sz\'ep product}. The behavior of homomorphisms with respect to knit products is investigated.
Cite
@article{arxiv.math/9204220,
title = {Knit products of graded Lie algebras and groups},
author = {Peter W. Michor},
journal= {arXiv preprint arXiv:math/9204220},
year = {2016}
}