Lie Calculus
Group Theory
2017-06-29 v2 Category Theory
Differential Geometry
Abstract
We explain that general differential calculus and Lie theory have a common foundation: Lie Calculus is differential calculus, seen from the point of view of Lie theory, by making use of the groupoid concept as link between them. Higher order theory naturally involves higher algebra (n-fold groupoids).(conceptual, topological) differential calculus, groupoids, higher algebra(-fold groupoids), Lie group, Lie groupoid, tangent groupoid, cubes of rings
Cite
@article{arxiv.1702.08282,
title = {Lie Calculus},
author = {Wolfgang Bertram},
journal= {arXiv preprint arXiv:1702.08282},
year = {2017}
}
Comments
V2 : minor corrections; to appear in: Proceedings of 50. Seminar Sophus Lie, Banach Center Publications, Warsaw