Nilpotent Lie groups: Fourier inversion and prime ideals

DOI10.1007/s00041-017-9586-yzbMath1412.22022OpenAlexW2771547528WikidataQ59603608 ScholiaQ59603608MaRDI QIDQ666643

Carine Molitor-Braun, Jean Ludwig, Ying-Fen Lin

Publication date: 6 March 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-017-9586-y

zbMATH Keywords

irreducible representationnilpotent Lie groupretractco-adjoint orbitFourier inversioncompact group action

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

• Unnamed Item
• Unnamed Item
• Compact actions, retract theory and prime ideals
• Über das Synthese-Problem für nilpotente Liesche Gruppen
• On primary ideals in the group algebra of a nilpotent Lie group
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• On the nilpotent \(*\)-Fourier transform
• Matrix coefficients and a Weyl correspondence for nilpotent Lie groups
• Unitary representation theory of exponential Lie groups
• Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups
• Représentations irréductibles bornées des groupes de Lie exponentiels
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Exponential actions, orbits and their kernels

This page was built for publication: Nilpotent Lie groups: Fourier inversion and prime ideals