Hostname: page-component-5447f9dfdb-2bw5x Total loading time: 0 Render date: 2025-07-30T09:02:04.610Z Has data issue: false hasContentIssue false
  • English
  • Français

Cohomology of locally trivial groupoids and Lie algebroids

Published online by Cambridge University Press:  17 April 2009

K. Mackenzie
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Information

Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 3 , June 1979 , pp. 475 - 477
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Atiyah, M.F., “Complex analytic connections in fibre bundles”, Trans. Amer. Math. Soc. 85 (1957), 181–207.CrossRefGoogle Scholar
[2]van Est, W.T., “Group cohomology and Lie algebra cohomology in Lie groups. I”, Nederl. Akad. Wetensch. Proc. Ser. A 56 = Indag. Math. 15 (1953), 484–492.CrossRefGoogle Scholar
[3]van Est, W.T., “Group cohomology and Lie algebra cohomology in Lie groups. II”, Nederl. Akad. Wetensoh. Proc. Ser. A 56 = Indag. Math. 15 (1953), 493–504.CrossRefGoogle Scholar
[4]Higgins, Philip J., Notes on categories and groupoids (Van Nostrand Reinhold, London, New York, Cincinnati, Toronto, Melbourne, 1971).Google Scholar
[5]Hochschild, G. and Mostow, G.D., “Cohomology of Lie groups”, Illinois J. Math. 6 (1962), 367–401.CrossRefGoogle Scholar
[6]Hochschild, G. and Serre, J.-P., “Cohomology of Lie algebras”, Ann. of Math. (2) 57 (1953), 591–603.CrossRefGoogle Scholar
[7]Mackenzie, K.A., “Rigid cohomology of topological groupoids”, J. Austral. Math. Soc. Ser. A 26 (1978), 277–301.CrossRefGoogle Scholar
[8]Pradines, Jean, “Troisième théorème de Lie pour les groupoïdes différentiables”, C.R. Acad. Sci. Paris Sér. A 267(1968), 21–23.Google Scholar
[9]Rinehart, George S., “Differential forms on general commutative algebras”, Trans. Amer. Math. Soc. 108 (1963), 195–222.CrossRefGoogle Scholar