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zbMath0843.22011MaRDI QIDQ3970392

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Publication date: 25 June 1992

Full work available at URL: http://www.numdam.org/item?id=CM_1991__77_3_293_0

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zbMATH Keywords

Weyl groupHilbert spaceLie groupsFourier analysisunitary representationgroup algebratorusautomorphic forms\(p\)-adic groupsintertwining operatorsHaar measuregeneral linear groupChevalley groupLevi subgroupsLefschetz principlecusp formspecial linear groupcuspidal representationreal reductive groupsadele group\(\mathbb{C}^*\)-algebraArtin reciprocity lawKnapp-Stein \(R\)-group

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (3)

Extensions of tempered representations ⋮ Reduced \(C^*\)-algebra for reductive p-adic groups ⋮ \(R\)-groups and geometric structure in the representation theory of \(\text{SL}(N)\)

Cites Work

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• On the decomposition of reducible principal series representations of p- adic Chevalley groups
• Reducibility of unramified unitary principal series representations of p- adic groups and class-1 representations
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Reduced \(C^*\)-algebra for reductive p-adic groups
• Lectures on Chevalley Groups
• Sur les représentations non ramifiées des groupes réductifs $p$-adiques ; l'exemple de $GSp(4)$
• Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
• Fourier Analysis on Local Fields. (MN-15)
• Automorphic Forms on Adele Groups. (AM-83)

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