Sur les restrictions des représentations unitaires des groupes de Lie résolubles exponentiels. (On the restrictions of unitary representations of exponential solvable Lie groups)

DOI10.1007/BF01245095zbMath0702.22012MaRDI QIDQ914855

Hidenori Fujiwara

Publication date: 1991

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143901

zbMATH Keywords

central decompositionorbit methodFrobenius reciprocityexponential solvable Lie grouptensor product of unitary representations

Mathematics Subject Classification ID

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

Related Items (12)

Wave front sets of reductive Lie group representations ⋮ Analysis of restrictions of unitary representations of a nilpotent Lie group ⋮ Unnamed Item ⋮ A proof of the polynomial conjecture for restrictions of nilpotent lie groups representations ⋮ On the irreducibility of some restrictions in nilpotent Lie groups ⋮ Commutativity of differential operators on the space of restricted representations of a nilpotent Lie group ⋮ The multiplicity function of mixed representations on completely solvable Lie groups ⋮ A generalization of Duflo's conjecture ⋮ Entrelacement des restrictions des représentations unitaires des groupes de Lie nilpotents. (Intertwining of restriction of unitary representations of nilpotent Lie groups) ⋮ Duflo conjecture for solvable Lie groups ⋮ Disintegrating tensor representations of nilpotent Lie groups ⋮ Duflo's conjecture for the branching problem to the Iwasawa \(AN\)-subgroup of a semisimple Lie group

Cites Work

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• Spectrum and multiplicities for restrictions of unitary representations in nilpotent Lie groups
• Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
• Orbital Parameters for Induced and Restricted Representations
• Unitary representations of solvable Lie groups
• Étude de certaines représentations induites d'un groupe de Lie résoluble exponentiel
• Restricting Representations of Completely Solvable Lie Groups

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