The orbit and \(\theta\) correspondence for some dual pairs

DOI10.1215/kjm/1250518706zbMath0848.22023OpenAlexW1563017432MaRDI QIDQ1912820

Stephen Rallis, Gérard Schiffmann

Publication date: 31 October 1996

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518706

zbMATH Keywords

universal enveloping algebrasunitary representationcoadjoint orbitautomorphic formssemisimple Lie groupWeil representationDynkin diagramdual pairsHowe correspondenceHowe theory

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (5)

Two reductive dual pairs in groups of type \(E\) ⋮ New dual pair correspondences ⋮ Restriction to Levi subalgebras and generalization of the category \(\mathcal O\) ⋮ The correspondences of infinitesimal characters for reductive dual pairs in simple Lie groups ⋮ On the spectrum of $(Spin(10,2),SL(2,\mathbb{R}))$ in $E_{7,3}$

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