Geodesic
NON-ABELIAN HOMOLOGY OF LIE ALGEBRAS
Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 417-429

Voir la notice de l'article provenant de la source Cambridge University Press

Non-abelian homology of Lie algebras with coefficients in Lie algebras is constructed and studied, generalising the classical Chevalley-Eilenberg homology of Lie algebras. The relationship between cyclic homology and Milnor cyclic homology of non-commutative associative algebras is established in terms of the long exact non-abelian homology sequence of Lie algebras. Some explicit formulae for the second and the third non-abelian homology of Lie algebras are obtained.
DOI : 10.1017/S0017089504001909
Mots-clés : 17B40, 17B56, 18G10, 18G50 
INASSARIDZE, N.; KHMALADZE, E.; LADRA, M. NON-ABELIAN HOMOLOGY OF LIE ALGEBRAS. Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 417-429. doi: 10.1017/S0017089504001909
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     title = {NON-ABELIAN {HOMOLOGY} {OF} {LIE} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {417--429},
     year = {2004},
     volume = {46},
     number = {2},
     doi = {10.1017/S0017089504001909},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001909/}
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