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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Lie groups with surjective exponential maps

S. G. Dani
Tata Institute of Fundamental Research, Mumbai, India
http://www.math.tifr.res.in/~dani/

Date(s) : 07/06/2016   iCal
11h00 - 12h00

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.

https://doi.org/10.1515/jgth-2017-0013

https://en.wikipedia.org/wiki/S._G._Dani

 

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