Geodesic
Chevalley-Eilenberg homology of crossed modules of Lie algebras in lower dimensions
Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 185-194.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper we prove a five term exact sequence connecting in lower dimensions the Chevalley-Eilenberg homologies of the crossed module of Lie algebras $(\mathfrak{m}, \mathfrak{g}, \mu)$ and of the Lie algebra $\mathfrak{g}/ \mathrm{Im} (\mu)$. Moreover, a relationship between the Chevalley-Eilenberg homology with coefficients and the homology of a crossed module of Lie algebras is established.
DOI : 10.4310/HHA.2013.v15.n2.a12
Classification : 17B40, 17B56, 18G50, 18G60, 19D55
Keywords: crossed modules of Lie algebras, Chevalley-Eilenberg homology 
@article{HHA_2013_15_2_a11,
     author = {Guram Donadze and Manuel Ladra},
     title = {Chevalley-Eilenberg homology of crossed modules of {Lie} algebras in lower dimensions},
     journal = {Homology, homotopy, and applications},
     pages = {185--194},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2013},
     doi = {10.4310/HHA.2013.v15.n2.a12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a12/}
}
TY  - JOUR
AU  - Guram Donadze
AU  - Manuel Ladra
TI  - Chevalley-Eilenberg homology of crossed modules of Lie algebras in lower dimensions
JO  - Homology, homotopy, and applications
PY  - 2013
SP  - 185
EP  - 194
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a12/
DO  - 10.4310/HHA.2013.v15.n2.a12
LA  - en
ID  - HHA_2013_15_2_a11
ER  - 
%0 Journal Article
%A Guram Donadze
%A Manuel Ladra
%T Chevalley-Eilenberg homology of crossed modules of Lie algebras in lower dimensions
%J Homology, homotopy, and applications
%D 2013
%P 185-194
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a12/
%R 10.4310/HHA.2013.v15.n2.a12
%G en
%F HHA_2013_15_2_a11
Guram Donadze; Manuel Ladra. Chevalley-Eilenberg homology of crossed modules of Lie algebras in lower dimensions. Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 185-194. doi : 10.4310/HHA.2013.v15.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a12/

Cité par Sources :