Simple subquotients of big parabolically induced representations of \(p\)-adic groups

DOI10.1016/j.jalgebra.2018.05.022zbMath1402.22018OpenAlexW2806032437WikidataQ129717954 ScholiaQ129717954MaRDI QIDQ724289

Jean-François Dat

Publication date: 25 July 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.05.022

zbMATH Keywords

\(p\)-adic groupsrepresentation theorymodular representationssupercuspidal representationsparabolic induction

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (5)

Category decomposition of \(\operatorname{Rep}_k( \mathrm{SL}_n(F))\) ⋮ Representations of a reductive \(p\)-adic group in characteristic distinct from \(p\) ⋮ Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Categorical representations and classical \(p\)-adic groups

Cites Work

• Induced \(R\)-representations of \(p\)-adic reductive groups
• Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\)
• The local Langlands correspondence for $GL_n$ in families
• Finitude pour les représentations lisses de groupes p-adiques
• Induced representations of reductive ${\germ p}$-adic groups. I
• Tamely ramified supercuspidal representations
• THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH -MODULES
• Semisimple Langlands correspondence for \(\operatorname {GL}(n,F)\bmod \ell\neq p\)

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