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## Banach Center Publications

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## 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).

#### Authors

• Wolfgang BertramInstitut Élie Cartan de Lorraine
Université de Lorraine at Nancy, CNRS, INRIA B.P. 70239
F-54506 Vandœuvre-lès-Nancy Cedex, France
e-mail

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