|XXXVII Workshop on Geometric Methods in Physics||1-7.07.2018|
|VII School on Geometry and Physics||25-29.06.2018|
Participants of Workshop
Participants of School
Institute of Mathematics "Simion Stoilow" of the Romanian Academy
On the inverse problem in representation theory of nilpotent Lie groups
We show that every Heisenberg group is uniquely determined by its unitary dual space, within the class of exponential Lie groups. We also announce further progress on the inverse problem in representation theory of nilpotent Lie groups, that is, the open problem of establishing to what extent nilpotent Lie groups can be recovered from their representation theory. The presentation is based on recent joint work with Ingrid Beltita.
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