Towards a new cohomology theory for strict Lie 2-groups

Camilo Angulo

In this article, we introduce the first degrees of a cochain complex associated to a strict Lie 2-group whose cohomology is shown to extend the classical cohomology theory of Lie groups. In particular, we show that the second cohomology group classifies an appropriate type of extensions. We conclude putting forward evidence that this complex can be extended to arbitrary degrees.

Keywords: Cohomology, higher Lie theory

2020 MSC: 17B56, 18D05, 22A22

Theory and Applications of Categories, Vol. 41, 2024, No. 19, pp 593-666.

Published 2024-06-04.

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