Homotopical aspects of lie algebras

Graham J. Ellis

doi:10.1017/S1446788700031852

Homotopical aspects of lie algebras

Graham J. Ellis

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

21 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	393-419
Number of pages	27
Journal	Journal of the Australian Mathematical Society
Volume	54
Issue number	3
DOIs	https://doi.org/10.1017/S1446788700031852
Publication status	Published - Jun 1993

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title = "Homotopical aspects of lie algebras",

abstract = "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.",

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AB - 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.

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Homotopical aspects of lie algebras

Abstract

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