Notes on unitary theta representations of compact groups

Notes on unitary theta representations of compact groups

We continue our work on understanding Howe correspondences by using theta representations from p-adic groups to compact groups. We prove some results for unitary theta representations of compact groups with respect to the induction and restriction functors.

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Veröffentlicht in:Journal of pure and applied algebra 2024-10, Vol.228 (10), p.107686, Article 107686
1. Verfasser: Wang, Chun-Hui
Format: Artikel
Sprache:eng
Schlagworte:
Compact group
Howe correspondence
Mackey-Clifford theory
Unitary representation
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Zusammenfassung:We continue our work on understanding Howe correspondences by using theta representations from p-adic groups to compact groups. We prove some results for unitary theta representations of compact groups with respect to the induction and restriction functors.
ISSN:0022-4049
DOI:10.1016/j.jpaa.2024.107686