On the commutativity of the algebra of invariant differential operators on certain nilpotent homogeneous spaces

DOI10.1090/S0002-9947-01-02850-1zbMath0978.43007MaRDI QIDQ2723472

Hidenori Fujiwara, Gérard Lion, Salah Mehdi

Publication date: 5 July 2001

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

zbMATH Keywords

unitary representationnilpotent Lie groupdifferential operatorsunitary characterreductive pair

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)

Related Items (1)

Analysis of restrictions of unitary representations of a nilpotent Lie group

Cites Work

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• Spectral decomposition of invariant differential operators on certain nilpotent homogeneous spaces
• Geometry of coadjoint orbits and noncommutativity of invariant differential operators on nilpotent homogeneous spaces
• A canonical approach to multiplicity formulas for induced and restricted representations of nilpotent lie groups
• Commutativity of invariant differential operators on nilpotent homogeneous spaces with finite multiplicity
• Orbital Parameters for Induced and Restricted Representations
• Invariant differential operators on certain nilpotent homogeneous spaces

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