Khedekar, Arati S. ; Rajan, C. S. (2012) On Cohomology theory for topological groups Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 122 (2). pp. 221-242. ISSN 0253-4142
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Official URL: http://www.ias.ac.in/mathsci/
Abstract
We construct some new cohomology theories for topological groups and Lie groups and study some of its basic properties. For example, we introduce a cohomology theory based on measurable cochains which are continuous in a neighbourhood of identity. We show that if G and A are locally compact and second countable, then the second cohomology group based on locally continuous measurable cochains as above parametrizes the collection of locally split extensions of G by A.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Academy of Sciences. |
ID Code: | 95360 |
Deposited On: | 07 Nov 2012 04:29 |
Last Modified: | 19 May 2016 08:00 |
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