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

Vojtěch Bartík; Jiří Vanžura

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 1, page 78-105
  • 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." Czechoslovak Mathematical Journal 35.1 (1985): 78-105. <http://eudml.org/doc/13495>.

@article{Bartík1985,
author = {Bartík, Vojtěch, Vanžura, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {cohomology of Lie algebras; G-structures; Lie algebras of vector fields; Gelfand Fuks cohomology},
language = {eng},
number = {1},
pages = {78-105},
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},
url = {http://eudml.org/doc/13495},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Bartík, Vojtěch
AU - Vanžura, Jiří
TI - Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 1
SP - 78
EP - 105
LA - eng
KW - cohomology of Lie algebras; G-structures; Lie algebras of vector fields; Gelfand Fuks cohomology
UR - http://eudml.org/doc/13495
ER -

References

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  1. Bartík V., Vanžura J., Losik cohomology of the Lie algebra of infinitesimal automorphisms of a G -structure, in: Proceedings of the conference (ČSSR-GDR-Poland) on differential geometry and its applications, September 1980. (1980) 
  2. Borel A., 10.2307/1969728, Ann. Math., 57 (1953), 115-207. (1953) MR0051508DOI10.2307/1969728
  3. Bredon G. E., Sheaf Theory, McGraw-Hill Book Company, New York, 1967. (1967) Zbl0158.20505MR0221500
  4. Cartan H., Eilenberg S., Homological Algebra, Princeton University Press, Princeton, N.J., 1956. (1956) Zbl0075.24305MR0077480
  5. Chevalley C., Eilenberg S., 10.1090/S0002-9947-1948-0024908-8, Trans. Amer. Math. Soc., 63 (1948), 85-124. (1948) Zbl0031.24803MR0024908DOI10.1090/S0002-9947-1948-0024908-8
  6. Greub W., Halperin S., Vanstone R., Connections, Curvature and Cohomology, I, II, III, Academic Press, New York-London, 1973. (1973) 
  7. Helgason S., Differential Geometry and Symmetric Spaces, Academic Press, New York- London, 1962. (1962) Zbl0111.18101MR0145455
  8. Iwasawa K., 10.2307/1969548, Ann. Math., 50 (1949), 507-558. (1949) Zbl0034.01803MR0029911DOI10.2307/1969548
  9. Kobayashi S., Nomizu К., Foundations of Differential Geometry, I, Interscience Publishers, New York-London, 1963. (1963) Zbl0119.37502
  10. Losik M. V., On the cohomologies of infinite-dimensional Lie algebras of vector fields, Funkt. Analiz i Ego Pril., 4 (2) (1970), 43-53. (Russian) (1970) Zbl0212.28002MR0279823
  11. Narasimhan R., Analysis on Real and Complex Manifolds, North-Holland Publishing Company, Amsterdam, 1968. (1968) Zbl0188.25803MR0251745
  12. Singer I. M., Sternberg S., 10.1007/BF02787690, J. d'Analyse Mathématique, Jérusalem, 15 (1965), 1 - 114. (1965) MR0217822DOI10.1007/BF02787690

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