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Principal bundles and group extensions with applications to Hopf algebras. (English) Zbl 0275.18012


MSC:

18D30 Fibered categories
20E22 Extensions, wreath products, and other compositions of groups
22A05 Structure of general topological groups
18F10 Grothendieck topologies and Grothendieck topoi
18G99 Homological algebra in category theory, derived categories and functors
20J06 Cohomology of groups
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
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References:

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[11] Moore, C. C., Extensions and low-dimensional cohomology theory of locally compact groups I, Trans. Am. Math. Soc., 113, 40-63 (1964) · Zbl 0131.26902
[12] Shapiro, A., Group extensions of compact Lie groups, Ann. Math., 50, 581-596 (1949) · Zbl 0033.34704
[13] Singer, W. M., Extension theory for connected Hopf algebras, J. Algebra, 21, 1-16 (1972) · Zbl 0269.16011
[14] Steenrod, N. E., The Topology of Fibre Bundles (1951), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J · Zbl 0054.07103
[15] Steenrod, N. E., Milgram’s classifying space of a topological group, Topology, 7, 349-368 (1968) · Zbl 0177.51601
[16] Sweedler, M. E., Hopf Algebras (1969), Benjamin: Benjamin New York · Zbl 0194.32901
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