Coadjoint orbits of stepwise square integrable representations

2014/08/08 by Beltita, Ingrid, Beltita, Daniel
#17B08 (Secondary) #17B30 #22E45 (Primary) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1408.1857

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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