Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups

DOI10.1007/BF01393821zbMath0497.22006WikidataQ115393600 ScholiaQ115393600MaRDI QIDQ1170637

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142915

zbMATH Keywords

Weyl group orbit Kirillov correspondence

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Compact groups (22C05) Character groups and dual objects (43A40)

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Cites Work