| Title:
|
Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure. II (English) |
| Author:
|
Bartík, Vojtěch |
| Author:
|
Vanžura, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
40 |
| Issue:
|
4 |
| Year:
|
1990 |
| Pages:
|
625-647 |
| . |
| Category:
|
math |
| . |
| MSC:
|
17B56 |
| MSC:
|
53C10 |
| MSC:
|
58H10 |
| idZBL:
|
Zbl 0746.57012 |
| idMR:
|
MR1084899 |
| DOI:
|
10.21136/CMJ.1990.102417 |
| . |
| Date available:
|
2008-06-09T15:35:37Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102417 |
| . |
| Reference:
|
[1] Albert C., Molino P.: Pseudogroupes de Lie et structures différentiables.1.1. (Mimeographed). |
| Reference:
|
[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 0779338 |
| Reference:
|
[3] Bourbaki N.: Éléments de Mathématique.Algèbre, Chapitre 8: Modules et anneaux semisimples, Hermann, Paris, 1958. Zbl 0102.27203, MR 0098114 |
| Reference:
|
[4] Bourbaki N.: Éléments de Mathématique.Groupes et algèbres de Lie, Chapitre 1: Algèbres de Lie, Hermann, Paris, 1960. Zbl 0199.35203, MR 0453824 |
| Reference:
|
[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. Zbl 0329.17002, MR 0453824 |
| Reference:
|
[6] Bredon G.: Sheaf Theory.McGraw-Hill, New York, 1967. Zbl 0158.20505, MR 0221500 |
| Reference:
|
[7] Cartan H., Eilenberg S.: Homological Algebra.Princeton University Press, Princeton, 1956. Zbl 0075.24305, MR 0077480 |
| Reference:
|
[8] Chevalley C., Eilenberg S.: Cohomology theory of Lie groups and algebras.Trans. Amer. Math. Soc. 63 (1948), 85-124. MR 0024908, 10.1090/S0002-9947-1948-0024908-8 |
| Reference:
|
[9] Greub W., Halperin S., Vanstone R.: Connections, Curvature and Cohomology.vol. II, Academic Press, New York-London, 1973. Zbl 0335.57001 |
| Reference:
|
[10] Greub W., Halperin S., Vanstone R.: Connections, Curvature and Cohomology.vol. III, Academic Press, New York-London, 1973. Zbl 0335.57001 |
| Reference:
|
[11] Hochschild F., Serre J.-P.: Cohomology of Lie algebras.Annals of Math. 57 (1953), 591-603. Zbl 0053.01402, MR 0054581, 10.2307/1969740 |
| Reference:
|
[12] Kobayashi S.: Transformation groups in differential geometry.Springer-Verlag, 1972. Zbl 0246.53031, MR 0355886 |
| Reference:
|
[13] Kobayashi S., Nomizu K.: Foundations of Differential Geometry.vol. I, Interscience Publishers, New York-London, 1963. Zbl 0119.37502, MR 0152974 |
| Reference:
|
[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). Zbl 0212.28002, MR 0279823 |
| Reference:
|
[15] Reinhart B. L.: Differential Geometry of Foliations.Springer-Verlag, Berlin-Heidelberg- NewYork-Tokyo, 1983. Zbl 0506.53018, MR 0705126 |
| Reference:
|
[16] Spanier E. H.: Algebraic Topology.McGraw-Hill, New York-Toronto-London, 1966. Zbl 0145.43303, MR 0210112 |
| . |
