Speaker: Arati Khairnar
Date: January 14, 2010
Affiliation:

Abstract: We define an explicit cohomology theory for topological groups based on locally continuous measurable cochains. We study its functorial properties and explore its relationship with other explicit cohomology theories.<br> We apply the theory to the case of connected Lie groups and certain modules and see that extension of a connected Lie group by coefficient modules of certain kind are connected Lie groups.