Pacific Journal of Mathematics
- Pacific J. Math.
- Volume 39, Number 2 (1971), 471-482.
Cohomology of group germs and Lie algebras.
Full-text: Open access
Article information
Source
Pacific J. Math., Volume 39, Number 2 (1971), 471-482.
Dates
First available in Project Euclid: 13 December 2004
Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102969572
Mathematical Reviews number (MathSciNet)
MR0311746
Zentralblatt MATH identifier
0225.57024
Subjects
Primary: 18H25
Secondary: 22E05: Local Lie groups [See also 34-XX, 35-XX, 58H05] 57F10
Citation
Świerczkowski, S. Cohomology of group germs and Lie algebras. Pacific J. Math. 39 (1971), no. 2, 471--482. https://projecteuclid.org/euclid.pjm/1102969572
References
- [1] C. Chevalley and S, Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc, 63 (1948), 85-124.
- [2] C. Chevalley, Theory of Lie groups, Vol. 1. Princeton Univ. Press, Princeton 1946.Zentralblatt MATH: 0063.00842
- [3] S. Eilenberg and S. MacLane, Cohomologytheory in abstract groups, Ann. of Math., 48 (1947). 51-78.
- [4] W. T. van Est, Group cohomology and Lie algebra cohomology in Lie groups, Indag. Math., 15 (1953), 484-504.
- [5] W. T. van Est, On the algebraic cohomology concepts in Lie groups I, Indag. Math., 17 (1955), 225-233.
- [6] W. T. van Est, Une application d'une methode de Cartan-Leray,Indag. Math., 17(1955), 542-545.
- [7] W. T. van Est, A generalization of the Cartam-Lerayspectral sequence I, Indag. Math., 20 (1958), 399-405.
- [8] W. T. van Est, Local and global groups I, Indag. Math., 24 (1962), 391-408.
- [9] I. M. Gefand D. B. Fuks, On classifyingspaces for principalfiberingswith Hausdorff bases, Soviet Math. Dokl., 9 (1968), No. 4, 851-854.
- [10] S. Helgason, Differentialgeometry and symmetric spaces, Acad. Press, New York 1962.Zentralblatt MATH: 0122.39901
- [11] G. Hochschild and G. D. Mostow, Cohomology of Lie groups, Illinois J. Math., 6 (1962), 367-401.
- [12] Sze-tsen Hu, Cohomology theory in topological groups, Michigan Math. J., 1 (1952), 11-59,
- [13] S. Lang, Introductionto differentible manifolds,Interscience. New York-London 1962.
- [14] Saunders MacLane, Homology, Springer 1963.
- [15] A. I. Malcev, Sur les groupes topologiques locaux et complete, C. R. (Doklady) Acad. Sci. URSS (N.S.) 32 (1941), 606-608.
- [16] D. Montgomery and L. Zippin, Topological transformationgroups, Interscience, New York, 1955.
- [17] G. D. Mostow, Cohomologyof topological groups and solvmanifolds, Ann. of Math., 73 (1961), 20-48.
- [18] A. Robinson, Germs, Applications of Model Theory to Algebra, Analysis and Pro- bability, (Edited by W. A. J. Luxemburg), Holt, Reinhart, Winston 1969.Mathematical Reviews (MathSciNet): MR38:4723
- [19] S. Swierczkowski, On the cohomology of local groups, J. Austral Math. Soc, 12 (1971), 249-255.Mathematical Reviews (MathSciNet): MR45:2026
Pacific Journal of Mathematics, A Non-profit Corporation

- You have access to this content.
- You have partial access to this content.
- You do not have access to this content.
More like this
- On algebraic Lie groups and algebras.
MATSUSHIMA, Yozo, Journal of the Mathematical Society of Japan, 1948 - 5. Lie Groups and Lie Algebras
Robert A. Wijsman Invariant measures on groups and their use in statistics (Hayward, CA: Institute of Mathematical Statistics, 1990), 1990 - Algebraic Structures Based on a Classifying Space of a Compact Lie Group
Lee, Dae-Woong, Abstract and Applied Analysis, 2013
- On algebraic Lie groups and algebras.
MATSUSHIMA, Yozo, Journal of the Mathematical Society of Japan, 1948 - 5. Lie Groups and Lie Algebras
Robert A. Wijsman Invariant measures on groups and their use in statistics (Hayward, CA: Institute of Mathematical Statistics, 1990), 1990 - Algebraic Structures Based on a Classifying Space of a Compact Lie Group
Lee, Dae-Woong, Abstract and Applied Analysis, 2013 - Lie algebras and affine algebraic groups.
Reinoehl, John H., Pacific Journal of Mathematics, 1980 - A note on the Lie algebras of algebraic groups
Kanno, Tsuneo, Tohoku Mathematical Journal, 1958 - Cohomology of homomorphisms of Lie algebras and Lie groups.
Brown, Robert F., Pacific Journal of Mathematics, 1977 - Deformations of homomorphisms of Lie groups and Lie algebras
Nijenhuis, Albert and Richardson, R. W., Bulletin of the American Mathematical Society, 1967 - Representations of complex semisimple Lie groups and Lie algebras
Parthasarathy, K. R., Ranga Rao, R., and Varadarajan, V. S., Bulletin of the American Mathematical Society, 1966 - Dual Lie algebras of Heisenberg Poisson Lie groups
Mikami, Kentaro and Narita, Fumio, Tsukuba Journal of Mathematics, 1993 - Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra
Morita, Shigeyuki, Sakasai, Takuya, and Suzuki, Masaaki, Duke Mathematical Journal, 2013
