Canonical Objects in Kirillov Theory on Nilpotent Lie Groups

DOI10.2307/2041553zbMath0372.22010OpenAlexW4241399249MaRDI QIDQ4149923

Richard C. Penney

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041553

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (9)

A Formula for Distribution Trace Characters on Nilpotent Lie Groups ⋮ Sur les représentations différentiables des groupes de Lie algébriques ⋮ Rationally Varying Polarizing Subalgebras in Nilpotent Lie Algebras ⋮ Fourier transforms of smooth functions on certain nilpotent Lie groups ⋮ Frobenius Reciprocity and Extensions of Nilpotent Lie Groups ⋮ Sur la bicontinuité de l'application de Dixmier pour les algèbres de Lie résolubles ⋮ Generic Representations are Induced from Square-Integrable Representations ⋮ On the Hilbert-Schmidt semi-norms of \(L^ 1\) of a nilpotent Lie group ⋮ Order estimates for irreducible projections in \(L^ 2\) of a nilmanifold

Cites Work

• A general character formula for irreducible projections on \(L^2\) of a nilmanifold
• Square Integrable Representations of Nilpotent Groups

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