Homotopical aspects of lie algebras
Ellis, Graham J.
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Ellis, Graham J. (1993). Homotopical aspects of lie algebras. Journal of the Australian Mathematical Society 54 , 393-419
The Hurewicz theorem, Mayer-Vietoris sequence, and Whitehead's certain exact sequence are proved for simplicial Lie algebras. These results are applied, using crossed module techniques, to obtain information on the low dimensional homology of a Lie algebra, and information on aspherical presentations of Lie algebras.