A spectral theoretic approach to the Kirillov-Duflo correspondence

DOI10.1090/S0002-9939-09-09916-XzbMath1178.22016OpenAlexW2035698092MaRDI QIDQ5322875

Raed Raffoul

Publication date: 23 July 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09916-x

zbMATH Keywords

Weyl calculuscoadjoint orbitscompact Lie groupKirillov-Duflo correspondence

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Functional calculus in topological algebras (46H30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Harmonic analysis on general compact groups (43A77)

Related Items (1)

A generalisation of the Cauchy integral formula for normal matrices

Cites Work

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• The convexity of the moment map of a Lie group
• Holomorphy and convexity in Lie theory
• The characters of unitary representations of Lie groups
• The Weyl functional calculus
• A homotopy for a complex of free Lie algebras
• Matrix coefficients and coadjoint orbits of compact Lie groups
• The Moment Map of a Lie Group Representation
• Loop groups and twisted $K$-theory II
• Functions of Several Self-Adjoint Operators
• Operants: A Functional Calculus for Non-Commuting Operators

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