A criterion for integral structures and coefficient systems on the tree of \(\mathrm{PGL}(2,F)\)

DOI10.4310/PAMQ.2008.v4.n4.a13zbMath1192.22010OpenAlexW2028912113MaRDI QIDQ959034

Marie-France Vignéras

Publication date: 10 December 2008

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/pamq.2008.v4.n4.a13

zbMATH Keywords

treelocal Langlands correspondencecoefficient systemintegral structure

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Groups acting on trees (20E08) Integral representations of infinite groups (20C12)

Related Items (12)

Big principal series, -adic families and -invariants ⋮ On Shalika models and \(p\)-adic \(L\)-functions ⋮ On the integrality of locally algebraic representations of \(\mathrm{GL}_2(D)\) ⋮ Kirillov models and integral structures in \(p\)-adic smooth representations of \(\mathrm{GL}_2(F)\) ⋮ Existence of invariant norms for \(\mathrm{GL}_2\) ⋮ On crystabelline deformation rings of \(\mathrm{Gal}(\overline{\mathbb {Q}}_p/\mathbb {Q}_p)\) (with an appendix by Jack Shotton) ⋮ Automorphic \(\mathcal{L} \)-invariants for reductive groups ⋮ Admissible unitary completions of locally ℚ_{𝕡}-rational representations of 𝔾𝕃₂(𝔽) ⋮ A note on integral structures in some locally algebraic representations of \(\mathrm{GL}_2\) ⋮ Sur certains complétés unitaires universels explicites pour $GL_2(F)$ ⋮ The Breuil-Schneider Conjecture: A Survey ⋮ Diagrammes canoniques et représentations modulo p de GL₂(F)

This page was built for publication: A criterion for integral structures and coefficient systems on the tree of \(\mathrm{PGL}(2,F)\)