G-set Theory and Applications in Lie Theory
Differential Geometry
2017-06-15 v4
Abstract
This paper is devoted to the development and applications of some (new) basic concepts in Lie theory, both from `computational" and "observability" viewpoint. We specify set of all "G-equivariant" maps from a given Lie group G to the underlying manifold M, namely -set, and also we introduce "conjugacy" in Lie group theory. The next goal of this paper is detailed analysis of the G-sets in connection with underlying transformation groups and providing a rigorous theoretical justification of "G-sets", when a group of transformations G acts on manifold M.
Cite
@article{arxiv.1201.3741,
title = {G-set Theory and Applications in Lie Theory},
author = {Reza Aghayan and Mehdi Nadjafikhah},
journal= {arXiv preprint arXiv:1201.3741},
year = {2017}
}
Comments
This paper has been withdrawn by the author due to fundamental changes in the content and provisions of this article