Representability of actions in the category of (Pre)crossed modules in Leibniz algebras |
| |
| Authors: | M At?k A Aytek?n |
| |
| Institution: | 1. Department of Risk Management and Insurance, Faculty of Economics and Administrative Sciences, ?ank?r? Karatekin University, ?ank?r?, Turkey;2. Department of Mathematics, Faculty of Art and Science, Aksaray University, Aksaray, Turkey |
| |
| Abstract: | We investigate the representability of actions in the category of (pre)crossed modules in Leibniz algebras. For this, we construct an actor of a (pre)cat1-Leibniz algebra and then by using the natural equivalence of the categories of (pre)cat1-Leibniz algebras and that of (pre)crossed modules, we construct the split extension classifier of the corresponding (pre)crossed module. |
| |
| Keywords: | Action actor precrossed module split extension classifier |
|
|
