On primary ideals in the group algebra of a nilpotent Lie group

DOI10.1007/BF01456011zbMath0489.22009WikidataQ115393484 ScholiaQ115393484MaRDI QIDQ1166627

Jean Ludwig

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163707

zbMATH Keywords

dualnilpotent Lie groupprime idealsprimitive idealsG-orbitdegree of nilpotency

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Group algebras of locally compact groups (22D15)

Related Items (6)

Spectral synthesis for coadjoint orbits of nilpotent Lie groups ⋮ Compact actions, retract theory and prime ideals ⋮ Nilpotent Lie groups: Fourier inversion and prime ideals ⋮ Algebraically irreducible representations of \(L^ 1\)-algebras of exponential Lie groups ⋮ Exponential actions, orbits and their kernels ⋮ Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups

Cites Work

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• Polynomial growth and ideals in group algebras
• Opérateurs de rang fini dans les représentations unitaires
• On the spectral synthesis problem for points in the dual of a nilpotent Lie group
• On the synthesis problem for orbits of Lie groups in \(R^ n\).
• Ideal theory in group algebras of locally compact groups
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• On the spectral synthesis problem for \((n-1)\)-dimensional subsets of \(R^ n,\,n \geq 2\)
• Dual topology of a nilpotent Lie group

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