Geometrical Categories of Generalized Lie Groups and Lie Group-Groupoids

Document Type: Regular Paper

Authors

Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71457- 44776, Shiraz, Iran

Abstract

In this paper we construct the category of coverings of fundamental generalized Lie group-groupoid associated
with a connected generalized Lie group. We show that this category is equivalent to the category of coverings of a
connected generalized Lie group. In addition, we prove the category of coverings of generalized Lie groupgroupoid
and the category of actions of this generalized Lie group-groupoid on a connected generalized Lie group
are equivalent.

Keywords