On special representations of \(p\)-adic reductive groups

DOI10.1215/00127094-2785697zbMath1298.22018arXiv1408.3370OpenAlexW2026201757MaRDI QIDQ461337

Elmar Grosse-Klönne

Publication date: 10 October 2014

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3370

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Algebraic number theory: local fields (11S99)

Related Items

On pro-𝑝-Iwahori invariants of 𝑅-representations of reductive 𝑝-adic groups ⋮ A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ On the exactness of ordinary parts over a local field of characteristic \(p\) ⋮ Modulo $p$ representations of reductive $p$-adic groups: Functorial properties ⋮ \(p\)-adic étale cohomology of period domains ⋮ Automorphic \(\mathcal{L} \)-invariants for reductive groups ⋮ Smooth duality in natural characteristic ⋮ Integral \(p\)-adic étale cohomology of Drinfeld symmetric spaces ⋮ Cohomology of \(p\)-adic Stein spaces ⋮ Functorial properties of generalised Steinberg representations ⋮ Compléments sur les extensions entre séries principales p-adiques et modulo p de GL(F)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The classification of irreducible admissible mod \(p\) representations of a \(p\)-adic \(\mathrm{GL}_n\)
• Representation theory and sheaves on the Bruhat-Tits building
• Pro-\(p\)-Iwahori Hecke ring and supersingular \(\bar{\text F}_p\)-representations
• The cohomology of \(p\)-adic symmetric spaces
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Principal series modulo \(p\) of \(p\)-adic reductive groups
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• On extensions of generalized Steinberg representations
• On a classification of irreducible admissible modulo representations of a -adic split reductive group
• Combinatorics of Coxeter Groups