A general character formula for irreducible projections on \(L^2\) of a nilmanifold

DOI10.1007/BF01364889zbMath0322.46049OpenAlexW1970401832MaRDI QIDQ1223809

Richard C. Penney, Frederick P. Greenleaf, Lawrence J. Corwin

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/162917

Mathematics Subject Classification ID

Distributions, generalized functions, distribution spaces (46F99) Other representations of locally compact groups (22D12) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to topological groups (22-00)

Related Items (13)

Canonical Objects in Kirillov Theory on Nilpotent Lie Groups ⋮ Harmonically Induced Representations on Nilpotent Lie Groups and Automorphic Forms on Nilmanifolds ⋮ Criteria for Solvability of Left Invariant Operators on Nilpotent Lie Groups ⋮ Geometric Quantization and The Universal Enveloping Algebra of a Nilpotent Lie Group ⋮ Lie Cohomology of Representations of Nilpotent Lie Groups and Holomorphically Induced Representations ⋮ Primary projections on \(L^2\) of a Nilmanifold ⋮ Continuity of magnetic Weyl calculus ⋮ Harmonic analysis on two and three-step nilmanifolds ⋮ On the Spectra of Compact Nilmanifolds ⋮ Frobenius Reciprocity and Extensions of Nilpotent Lie Groups ⋮ Spherical distributions on nilmanifolds ⋮ Analyse harmonique sur les espaces symétriques nilpotents ⋮ Unnamed Item

Cites Work

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• A class of idempotent measures on compact nilmanifolds
• Character formulas and spectra of compact nilmanifolds
• Integral formulas with distribution kernels for irreducible projections in \(L^2\) of a nilmanifold
• Intertwining operators for representations induced from uniform subgroups
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Uniform distribution in solvmanifolds
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Entire Vectors and Holomorphic Extension of Representations. II
• Rational Subspaces of Induced Representations and Nilmanifolds
• Analytic and Entire Vectors for Representations of Lie Groups
• On Frobenius Reciprocity for Unipotent Algebraic Groups Over Q
• Decomposition of the L 2 -Space of a General Compact Nilmanifold

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