Projection of orbits and K multiplicities

DOI10.1016/0022-1236(89)90120-1zbMath0729.22020OpenAlexW2082110557MaRDI QIDQ805763

Jyoti Sengupta

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90120-1

zbMATH Keywords

coadjoint orbitinvariant measureLiouville measureroot systemmoment mapCartan decompositioncharacter formularegular orbitFrobenius reciprocityinvariant distributionHamiltonian spaceK-multiplicitiesreal semisimple noncompact Lie algebra

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60)

Related Items

The Fourier transform of semi-simple coadjoint orbits

Cites Work

• Unnamed Item
• On the fundamental series of a real semisimple Lie algebra: their irreducibility, resolutions and multiplicity formulae
• Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
• Differential Operators on a Semisimple Lie Algebra
• Projection d'orbites, formule de Kirillov et formule de Blattner
• Quantization and unitary representations
• Representations of semisimple Lie groups. II