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arXivIn this article, we give a characterisation of crossed homomorphisms on Lie superalgebras as a Maurer-Cartan element of a graded Lie algebra. Using this characterisation we study cohomology of these crossed homomorphisms. As an application of this cohomology we study formal deformation of crossed homomorphisms. We show that linear deformations of these
arxiv
Lie theory and the Chern-Weil homomorphism
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The cyclic-homology Chern-Weil homomorphism for principal coactions
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Chern-Weil homomorphism in twisted equivariant cohomology
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