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Lie Calculus

Tom 113 / 2017

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

Streszczenie

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).

Autorzy

  • 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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