most citedLie group structures on groups of smooth and holomorphic maps on non-compact manifolds

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math.KT2006

On Lie algebra crossed modules

Friedrich Wagemann

This article constructs a crossed module corresponding to the generator of the third cohomology group with trivial coefficients of a complex simple Lie algebra. This generator read…

math.KT2000

On the Leibniz cohomology of vector fields

Alessandra Frabetti, Friedrich Wagemann

I. M. Gelfand and D. B. Fuks have studied the cohomology of the Lie algebra of vector fields on a manifold. In this article, we generalize their main tools to compute the Leibniz c…