Lie Calculus
Volume 113 / 2017
Banach Center Publications 113 (2017), 59-85
MSC: 18F15, 20L05, 22E65, 39A12, 58C20, 97I40.
DOI: 10.4064/bc113-0-4
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).
