Lie groups with surjective exponential maps

S. G. Dani
Tata Institute of Fundamental Research, Mumbai, India

Date(s) : 07/06/2016   iCal
11 h 00 min - 12 h 00 min

There has been considerable literature as to when a Lie group is exponential, namely when its exponential map is surjective. The issue is reasonably well understood in the case of Lie groups that are either semisimple or solvable, but for a general Lie group, which is a mix of the two, there is no clarity on the question. In this talk, after recalling the background we describe a condition for the radical of an exponential Lie group to be exponential, in terms of a condition on the semisimple quotient. The discussion will focus on familiar classes of examples, though the results will be stated in due generality.



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