Comparison of compact induction with parabolic induction
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Publication:1935339
DOI10.2140/pjm.2012.260.457zbMath1284.22009arXiv1111.7276OpenAlexW2270693963MaRDI QIDQ1935339
Marie-France Vignéras, Guy Henniart
Publication date: 15 February 2013
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.7276
Satake isomorphismparabolic inductioncompact inductionrepresentations modulo \(p\) of reductive \(p\)-adic groups
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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The Right Adjoint of the Parabolic Induction ⋮ Parabolic induction in characteristic \(p\) ⋮ Inverse Satake isomorphism and change of weight ⋮ The left adjoint of derived parabolic induction ⋮ A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Irreducible admissible mod-\(p\) representations of metaplectic groups ⋮ Modulo $p$ representations of reductive $p$-adic groups: Functorial properties ⋮ Representations modulo \(p\) of \(\mathrm{GL}(2, D)\), \(D\) a division algebra over a local field ⋮ THE PRO-p-IWAHORI HECKE ALGEBRA OF A REDUCTIVEp-ADIC GROUP III (SPHERICAL HECKE ALGEBRAS AND SUPERSINGULAR MODULES) ⋮ ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS ⋮ Freeness of spherical Hecke modules of unramified \(U(2,1)\) in characteristic \(p\) ⋮ A vanishing result for higher smooth duals ⋮ A comparison between pro-\(p\) Iwahori-Hecke modules and mod \(p\) representations ⋮ On a classification of irreducible admissible modulo representations of a -adic split reductive group
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