Journal of Lie Theory

no. 2
Non-Abelian Cohomology and Extensions of Lie Algebras
Journal of Lie Theory, Volume 18 (2008) no. 2, pp. 413-432
We introduce the second non-abelian cohomology of Lie algebras with coefficients in crossed modules using the generalised notion of Lie algebra of derivations, and establish a relationship of this cohomology with Lie algebra extensions by crossed modules. We extend the seven-term exact non-abelian cohomology sequence of Guin to a nine-term exact sequence.
DOI: 10.5802/jolt.503
Classification: 17B40, 17B56, 18G10, 18G50
Keywords: Derivations, crossed modules, non-abelian cohomology, extensions of Lie algebras 
@article{JOLT_2008_18_2_a10,
     author = {N. Inassaridze and E. Khmaladze and M. Ladra},
     title = {Non-Abelian {Cohomology} and {Extensions} of {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {413--432},
     year = {2008},
     volume = {18},
     number = {2},
     doi = {10.5802/jolt.503},
     zbl = {1179.17019},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.503/}
}
TY  - JOUR
AU  - N. Inassaridze
AU  - E. Khmaladze
AU  - M. Ladra
TI  - Non-Abelian Cohomology and Extensions of Lie Algebras
JO  - Journal of Lie Theory
PY  - 2008
SP  - 413
EP  - 432
VL  - 18
IS  - 2
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.503/
DO  - 10.5802/jolt.503
ID  - JOLT_2008_18_2_a10
ER  - 
%0 Journal Article
%A N. Inassaridze
%A E. Khmaladze
%A M. Ladra
%T Non-Abelian Cohomology and Extensions of Lie Algebras
%J Journal of Lie Theory
%D 2008
%P 413-432
%V 18
%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.503/
%R 10.5802/jolt.503
%F JOLT_2008_18_2_a10
N. Inassaridze; E. Khmaladze; M. Ladra. Non-Abelian Cohomology and Extensions of Lie Algebras. Journal of Lie Theory, Volume 18 (2008) no. 2, pp. 413-432. doi: 10.5802/jolt.503

Cited by Sources: