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arXiv · 1706.00870

Lie groupoids and the Frolicher-Nijenhuis bracket

Henrique Bursztyn·Thiago Drummond
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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.

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Henrique Bursztyn, Thiago Drummond. 2017-06-02. Lie groupoids and the Frolicher-Nijenhuis bracket. https://doi.org/10.1007/s00574-013-0031-9

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