期刊论文详细信息
Proceedings Mathematical Sciences | |
On Cohomology Theory for Topological Groups | |
Arati S Khedekar2  C S Rajan1  | |
[1] $$;School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 00 00, India$$ | |
关键词: Cohomology theory; group extension; locally compact groups; Lie groups.; | |
DOI : | |
学科分类:数学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
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 the identity. We show that if ðº and ð´ 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 ðº by ð´.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040506986ZK.pdf | 307KB | download |