A proof of the polynomial conjecture for restrictions of nilpotent lie groups representations

DOI10.1090/ert/611OpenAlexW4281957790WikidataQ113823120 ScholiaQ113823120MaRDI QIDQ5086330

Jean Ludwig, Ali Baklouti, Hidenori Fujiwara

Publication date: 5 July 2022

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

Full work available at URL: https://doi.org/10.1090/ert/611

zbMATH Keywords

Plancherel formuladifferential operatorirreducible representationsorbit methodPenney distribution

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Related Items (1)

A proof of the polynomial conjecture for nilpotent Lie groups monomial representations

Cites Work

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• Commutativity of differential operators on the space of restricted representations of a nilpotent Lie group
• A commutativity criterion for certain algebras of invariant differential operators on nilpotent homogeneous spaces
• Analysis of restrictions of unitary representations of a nilpotent Lie group
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Disintegrating tensor representations of nilpotent Lie groups
• On the infinitesimal kernel of irreducible representations of nilpotent Lie groups
• Direct Integral Decompositions and Multiplicities for Induced Representations of Nilpotent Lie Groups
• Commutativity of invariant differential operators on nilpotent homogeneous spaces with finite multiplicity
• Opérateurs différentiels bi-invariants sur un groupe de Lie
• Opérateurs différentiels associés à certaines représentations unitaires d'un groupe de Lie résoluble exponentiel
• Representation Theory of Solvable Lie Groups and Related Topics
• Invariant differential operators on certain nilpotent homogeneous spaces

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