Lie groupoids and the Frolicher-Nijenhuis bracket
Differential Geometry
2023-05-05 v1
Abstract
The space of vector-valued forms on any manifold is a graded Lie algebra with respect to the Frolicher-Nijenhuis bracket. In this paper we consider multiplicative vector-valued forms on Lie groupoids and show that they naturally form a graded Lie subalgebra. Along the way, we discuss various examples and different characterizations of multiplicative vector-valued forms.
Keywords
Cite
@article{arxiv.1706.00870,
title = {Lie groupoids and the Frolicher-Nijenhuis bracket},
author = {Henrique Bursztyn and Thiago Drummond},
journal= {arXiv preprint arXiv:1706.00870},
year = {2023}
}
Comments
16 pages. Appeared in special volume of the Bull. Braz. Math. Society in 2013 (IMPA 60 years)