Coadjoint orbits of stepwise square integrable representations

Beltiţă, Ingrid; Beltiţă, Daniel

doi:10.1090/proc/12761

Coadjoint orbits of stepwise square integrable representations
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Proc. Amer. Math. Soc. 144 (2016), 1343-1350 Request permission

Abstract:

Nilpotent Lie groups with stepwise square integrable representations were recently investigated by J.A. Wolf. We give an alternative approach to these representations by relating them to the stratifications of the duals of nilpotent Lie algebras, thus proving that they correspond to a subset with relative Hausdorff topology, dense interior, and total Plancherel measure in the unitary dual of the Lie group under consideration.

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