Topics in harmonic analysis on solvable algebraic groups
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Publication:1252601
DOI10.2140/pjm.1977.73.383zbMath0394.43009OpenAlexW2030413759MaRDI QIDQ1252601
Publication date: 1977
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1977.73.383
Representation TheoryCharacteristic Zero P-Adic Solvable Algebraic GroupsKirillov TheorySolvable Lie Groups
Representation theory for linear algebraic groups (20G05) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over local fields (22E50) Analysis on other specific Lie groups (43A80)
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Dual pair \(G_{\mathcal J}\times PGL_ 2 G_{\mathcal J}\) is the automorphism group of the Jordan algebra \({\mathcal J}\) ⋮ Kirillov-Duflo orbit method and minimal representations of simple groups over a local field of characteristic zero ⋮ Minimal representations of exceptional 𝑝-adic groups ⋮ Character formula of representations associated with a closed orbit ⋮ Character formulas and spectra of compact nilmanifolds ⋮ Frobenius Reciprocity and Extensions of Nilpotent Lie Groups ⋮ Intertwining operators for representations induced from uniform subgroups ⋮ Spectra of compact quotients of the oscillator group ⋮ The character of the metaplectic representation and the character formula for certain representations of an almost algebraic Lie group over a \(p\)-adic field ⋮ Théorie de Mackey pour les groupes de Lie algébriques ⋮ Generic Representations are Induced from Square-Integrable Representations
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