Lie groupoids and the Frölicher-Nijenhuis bracket |
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| Authors: | Henrique Bursztyn Thiago Drummond |
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| Institution: | 1. IMPA, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, Brazil
2. UFRJ Instituto de Matemática, Av. Athos da Silveira Ramos, 149, CT, Bloco C, 21941-901, Rio de Janeiro, RJ, Brazil
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| Abstract: | The space of vector-valued forms on any manifold is a graded Lie algebra with respect to the Frölicher-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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