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arXiv · 1408.1857

Coadjoint orbits of stepwise square integrable representations

Ingrid Beltita·Daniel Beltita
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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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Ingrid Beltita, Daniel Beltita. 2014-08-08. Coadjoint orbits of stepwise square integrable representations. https://arxiv.org/abs/1408.1857

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