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arXiv · 1201.3741

G-set Theory and Applications in Lie Theory

Reza Aghayan·Mehdi Nadjafikhah
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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 $G$-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.

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BibTeXRIS

Reza Aghayan, Mehdi Nadjafikhah. 2012-01-18. G-set Theory and Applications in Lie Theory. https://arxiv.org/abs/1201.3741

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