Losik cohomology of the Lie algebra of infinitesimal automorphisms of a G -structure. II

Vojtěch Bartík; Jiří Vanžura

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 4, page 625-647
  • ISSN: 0011-4642

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Bartík, Vojtěch, and Vanžura, Jiří. "Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure. II." Czechoslovak Mathematical Journal 40.4 (1990): 625-647. <http://eudml.org/doc/13885>.

@article{Bartík1990,
author = {Bartík, Vojtěch, Vanžura, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {infinitesimally homogeneous -structure; Lie algebra of the infinitesimal automorphisms},
language = {eng},
number = {4},
pages = {625-647},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure. II},
url = {http://eudml.org/doc/13885},
volume = {40},
year = {1990},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 4
SP - 625
EP - 647
LA - eng
KW - infinitesimally homogeneous -structure; Lie algebra of the infinitesimal automorphisms
UR - http://eudml.org/doc/13885
ER -

References

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  3. Bourbaki N., Éléments de Mathématique, Algèbre, Chapitre 8: Modules et anneaux semisimples, Hermann, Paris, 1958. (1958) Zbl0102.27203MR0098114
  4. Bourbaki N., Éléments de Mathématique, Groupes et algèbres de Lie, Chapitre 1: Algèbres de Lie, Hermann, Paris, 1960. (1960) Zbl0199.35203MR0453824
  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. (1975) Zbl0329.17002MR0453824
  6. Bredon G., Sheaf Theory, McGraw-Hill, New York, 1967. (1967) Zbl0158.20505MR0221500
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  8. Chevalley C., Eilenberg S., 10.1090/S0002-9947-1948-0024908-8, Trans. Amer. Math. Soc. 63 (1948), 85-124. (1948) MR0024908DOI10.1090/S0002-9947-1948-0024908-8
  9. Greub W., Halperin S., Vanstone R., Connections, Curvature and Cohomology, vol. II, Academic Press, New York-London, 1973. (1973) Zbl0335.57001
  10. Greub W., Halperin S., Vanstone R., Connections, Curvature and Cohomology, vol. III, Academic Press, New York-London, 1973. (1973) Zbl0335.57001
  11. Hochschild F., Serre J.-P., 10.2307/1969740, Annals of Math. 57 (1953), 591-603. (1953) Zbl0053.01402MR0054581DOI10.2307/1969740
  12. Kobayashi S., Transformation groups in differential geometry, Springer-Verlag, 1972. (1972) Zbl0246.53031MR0355886
  13. Kobayashi S., Nomizu K., Foundations of Differential Geometry, vol. I, Interscience Publishers, New York-London, 1963. (1963) Zbl0119.37502MR0152974
  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). (1970) Zbl0212.28002MR0279823
  15. Reinhart B. L., Differential Geometry of Foliations, Springer-Verlag, Berlin-Heidelberg- NewYork-Tokyo, 1983. (1983) Zbl0506.53018MR0705126
  16. Spanier E. H., Algebraic Topology, McGraw-Hill, New York-Toronto-London, 1966. (1966) Zbl0145.43303MR0210112

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