A submersion principle and its applications

DOI10.1007/BF02837281zbMath0512.22010OpenAlexW2325724106MaRDI QIDQ1839323

Harish-Chandra

Publication date: 1981

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02837281

zbMATH Keywords

parabolic subgroupsdistributionsubmersioninfinitesimal characterreductive p-adic groupsirreducible admisible representation

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Other algebraic groups (geometric aspects) (14L40)

Related Items (17)

Correspondance de Jacquet–Langlands pour les corps locaux de caractéristique non nulle ⋮ Automorphic induction for \(GL(n)\) (over local nonarchimedean fields) ⋮ Local tame lifting for \(GL(N)\). I: Simple characters ⋮ Murnaghan-Kirillov theory for supercuspidal representations of tame general linear groups ⋮ Stability of character sums for positive-depth, supercuspidal representations ⋮ On the characters of unipotent representations of a semisimple 𝑝-adic group ⋮ Théorème d'Atiyah-Bott pour les variétés ${\frak p}$-adiques et caractères des groupes réductifs ⋮ Correspondance de Langlands‐Kazhdan explicite dans le cas non ramifié ⋮ \(\mathfrak{z}\)-finite distributions on \(p\)-adic groups ⋮ Dualizing involutions on the metaplectic \(\operatorname{GL}(2)\) ⋮ The Trace Formula and the Proof of the Global Jacquet-Langlands Correspondence ⋮ Transfer of \(R\)-groups between \(p\)-adic inner forms of \(\mathrm{SL}_n\) ⋮ Formules de caractères pour l'induction automorphe ⋮ Invariance of 𝑅-groups between 𝑝-adic inner forms of quasi-split classical groups ⋮ Intégrales orbitales sur $GL(N,F)$ où $F$ est un corps local non archimédien ⋮ Metaplectic forms ⋮ Cyclic homology, Selberg's principle and pseudo-coefficient

Cites Work

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• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk

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