G-set Theory and Applications in Lie Theory
| Autor: | Aghayan, Reza, Nadjafikhah, Mehdi |
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| Rok vydání: | 2012 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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justification of "G-sets", when a group of transformations G acts on manifold M. Comment: This paper has been withdrawn by the author due to fundamental changes in the content and provisions of this article |
| Databáze: | arXiv |
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