Functorial Lie Groups

Ewa Falkiewicz; Wiesław Sasin

Authors

Ewa Falkiewicz Chair of International Business and Finance, Faculty of Economics and Finance, Kazimir Pulaski Radom University, 26-600 Radom, Chrobrego 31, Poland https://orcid.org/0000-0002-2263-9476
Wiesław Sasin Institute of Mathematics and Cryptology, Military University of Technology, Kaliskiego 2, 00-908 Warsaw, Poland https://orcid.org/0000-0003-0832-6040

Keywords:

Lie group, Lie algebra, left - invariant vector field, parametric points, functorial Lie group, exponential map

Abstract

In this paper we present the concept of a functorial Lie group. We enrich the space with parametric points and consider the structure as C∞ - algebra [Pysiak et al. 2020]. We get varied spaces. Taking the Lie group as a space, we construct the functorial Lie group with parametric points. We also consider the Lie algebra of the functorial Lie group and construct the functorial exponential map.

Functorial Lie Groups

Authors

Keywords:

Abstract

Downloads

Published

Issue

Section