Invariant measures on nilpotent orbits associated with holomorphic discrete series
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- by Mladen Božičević
- Represent. Theory 25 (2021), 732-747
- DOI: https://doi.org/10.1090/ert/580
- Published electronically: August 18, 2021
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Abstract:
Let $G_\mathbb R$ be a real form of a complex, semisimple Lie group $G$. Assume $G_\mathbb R$ has holomorphic discrete series. Let $\mathcal W$ be a nilpotent coadjoint $G_\mathbb R$-orbit contained in the wave front set of a holomorphic discrete series. We prove a limit formula, expressing the canonical measure on $\mathcal W$ as a limit of canonical measures on semisimple coadjoint orbits, where the parameter of orbits varies over the positive chamber defined by the Borel subalgebra associated with holomorphic discrete series.References
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Bibliographic Information
- Mladen Božičević
- Affiliation: Department of Geotechnical Engineering, University of Zagreb, Hallerova 7, 42000 Varaždin, Croatia
- ORCID: 0000-0002-2588-723X
- Email: mladen.bozicevic@gmail.com
- Received by editor(s): January 26, 2021
- Received by editor(s) in revised form: May 25, 2021
- Published electronically: August 18, 2021
- Additional Notes: The author was partially supported by grant no. 4176 of the Croatian Science Foundation
- © Copyright 2021 American Mathematical Society
- Journal: Represent. Theory 25 (2021), 732-747
- MSC (2020): Primary 22E46; Secondary 22E30
- DOI: https://doi.org/10.1090/ert/580
- MathSciNet review: 4301562