Geodesic
Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure. II
Czechoslovak Mathematical Journal, Tome 40 (1990) no. 4, pp. 625-647
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1990.102417
Classification : 17B56, 53C10, 58H10 
@article{10_21136_CMJ_1990_102417,
     author = {Bart{\'\i}k, Vojt\v{e}ch and Van\v{z}ura, Ji\v{r}{\'\i}},
     title = {Losik cohomology of the {Lie} algebra of infinitesimal automorphisms of a $G$-structure. {II}},
     journal = {Czechoslovak Mathematical Journal},
     pages = {625--647},
     year = {1990},
     volume = {40},
     number = {4},
     doi = {10.21136/CMJ.1990.102417},
     mrnumber = {1084899},
     zbl = {0746.57012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102417/}
}
TY  - JOUR
AU  - Bartík, Vojtěch
AU  - Vanžura, Jiří
TI  - Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure. II
JO  - Czechoslovak Mathematical Journal
PY  - 1990
SP  - 625
EP  - 647
VL  - 40
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102417/
DO  - 10.21136/CMJ.1990.102417
LA  - en
ID  - 10_21136_CMJ_1990_102417
ER  - 
%0 Journal Article
%A Bartík, Vojtěch
%A Vanžura, Jiří
%T Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure. II
%J Czechoslovak Mathematical Journal
%D 1990
%P 625-647
%V 40
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102417/
%R 10.21136/CMJ.1990.102417
%G en
%F 10_21136_CMJ_1990_102417
Bartík, Vojtěch; Vanžura, Jiří. Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure. II. Czechoslovak Mathematical Journal, Tome 40 (1990) no. 4, pp. 625-647. doi: 10.21136/CMJ.1990.102417

[1] Albert C., Molino P.: Pseudogroupes de Lie et structures différentiables. 1.1. (Mimeographed).

[2] Bartík V., Vanzura J.: Losik cohomology of the Lie algebra of infinitesimal automorphisms of a G-structure. Czechoslovak Math. J. 35 (1985), 78-105. | MR

[3] Bourbaki N.: Éléments de Mathématique. Algèbre, Chapitre 8: Modules et anneaux semisimples, Hermann, Paris, 1958. | MR | Zbl

[4] Bourbaki N.: Éléments de Mathématique. Groupes et algèbres de Lie, Chapitre 1: Algèbres de Lie, Hermann, Paris, 1960. | MR | Zbl

[5] Bourbaki N.: Éléments de mathématique. Groupes et algèbres de Lie, Chapitre 7: Sousalgèbres de Cartan, éléments réguliers, Chapitre 8: Algèbres de Lie semi-simples déployées, Herman, Paris, 1975. | MR | Zbl

[6] Bredon G.: Sheaf Theory. McGraw-Hill, New York, 1967. | MR | Zbl

[7] Cartan H., Eilenberg S.: Homological Algebra. Princeton University Press, Princeton, 1956. | MR | Zbl

[8] Chevalley C., Eilenberg S.: Cohomology theory of Lie groups and algebras. Trans. Amer. Math. Soc. 63 (1948), 85-124. | DOI | MR

[9] Greub W., Halperin S., Vanstone R.: Connections, Curvature and Cohomology. vol. II, Academic Press, New York-London, 1973. | Zbl

[10] Greub W., Halperin S., Vanstone R.: Connections, Curvature and Cohomology. vol. III, Academic Press, New York-London, 1973. | Zbl

[11] Hochschild F., Serre J.-P.: Cohomology of Lie algebras. Annals of Math. 57 (1953), 591-603. | DOI | MR | Zbl

[12] Kobayashi S.: Transformation groups in differential geometry. Springer-Verlag, 1972. | MR | Zbl

[13] Kobayashi S., Nomizu K.: Foundations of Differential Geometry. vol. I, Interscience Publishers, New York-London, 1963. | MR | Zbl

[14] Losik M. V.: On the cohomologies of infinite-dimensional Lie algebras of vector fields. Funkc. Analiz. i Ego Pril. 4 (2) (1970), 43-53. (Russian). | MR | Zbl

[15] Reinhart B. L.: Differential Geometry of Foliations. Springer-Verlag, Berlin-Heidelberg- NewYork-Tokyo, 1983. | MR | Zbl

[16] Spanier E. H.: Algebraic Topology. McGraw-Hill, New York-Toronto-London, 1966. | MR | Zbl

Cité par Sources :