Coadjoint orbits of stepwise square integrable representations
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- by Ingrid Beltiţă and Daniel Beltiţă PDF
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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.References
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Additional Information
- Ingrid Beltiţă
- Affiliation: Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, Bucharest, Romania
- MR Author ID: 656639
- Email: Ingrid.Beltita@imar.ro, ingrid.beltita@gmail.com
- Daniel Beltiţă
- Affiliation: Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, Bucharest, Romania
- Email: Daniel.Beltita@imar.ro, beltita@gmail.com
- Received by editor(s): November 4, 2014
- Received by editor(s) in revised form: February 1, 2015
- Published electronically: June 30, 2015
- Communicated by: Kailash C. Misra
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 1343-1350
- MSC (2010): Primary 22E45; Secondary 47G30, 47B10
- DOI: https://doi.org/10.1090/proc/12761
- MathSciNet review: 3447684