Matrix coefficients and coadjoint orbits of compact Lie groups

DOI10.1090/S0002-9939-07-08781-3zbMath1123.43003OpenAlexW2033547701WikidataQ115290128 ScholiaQ115290128MaRDI QIDQ3438121

Raed Raffoul, Anthony H. Dooley

Publication date: 15 May 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08781-3

zbMATH Keywords

Lie groupscoadjoint orbitsmoment mapmatrix coefficientsWeyl functional calculus

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Lie groups (22E99) Harmonic analysis on general compact groups (43A77)

Related Items (2)

A spectral theoretic approach to the Kirillov-Duflo correspondence ⋮ A generalisation of the Cauchy integral formula for normal matrices

Cites Work

• Unnamed Item
• The convexity of the moment map of a Lie group
• Kirillov's character formula for reductive Lie groups
• Convexity properties of the moment mapping re-examined
• Holomorphy and convexity in Lie theory
• Caractères des groupes de Lie
• Convexity properties of the moment mapping. III
• On the characters and the Plancherel formula of nilpotent groups
• The characters of unitary representations of Lie groups
• The Weyl functional calculus
• Differential Operators on a Semisimple Lie Algebra
• The Moment Map of a Lie Group Representation
• On convexity, the Weyl group and the Iwasawa decomposition
• Global character formulae for compact Lie groups
• The Weyl calculus for hermitian matrices
• Operants: A Functional Calculus for Non-Commuting Operators

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