The left adjoint of derived parabolic induction

DOI10.1007/s00209-023-03385-5arXiv2204.11581OpenAlexW4387844653MaRDI QIDQ6060822

Claudius Heyer

Publication date: 6 November 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.11581

zbMATH Keywords

derived categoriessmooth representationsmodular representations\(p\)-adic reductive groupsparabolic induction

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25) Derived categories, triangulated categories (18G80)

Cites Work

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• The classification of irreducible admissible mod \(p\) representations of a \(p\)-adic \(\mathrm{GL}_n\)
• Parabolic induction and extensions
• Smooth representations and Hecke modules in characteristic \(p\)
• Induced \(R\)-representations of \(p\)-adic reductive groups
• Irreducible modular representations of GL\(_ 2\) of a local field
• A Brown representability theorem via coherent functors
• Resolution of unbounded complexes in Grothendieck categories
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Comparison of compact induction with parabolic induction
• A Satake isomorphism for representations modulo \(p\) of reductive groups over local fields
• Projective discrete modules over profinite groups
• Sur la dimension cohomologique des groupes profinis
• \(p\)-adic analytic groups
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Triangulated Categories
• EXTENSIONS ENTRE SÉRIES PRINCIPALES -ADIQUES ET MODULO DE
• A Satake isomorphism in characteristic p
• DERIVED FUNCTORS OF INVERSE LIMITS REVISITED
• Smooth representations of reductive p -ADIC groups: structure theory via types
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
• Grothendieck–Neeman duality and the Wirthmüller isomorphism
• Categories and Sheaves
• Derived parabolic induction
• Duals and admissibility in natural characteristic