Kirillov models and integral structures in \(p\)-adic smooth representations of \(\mathrm{GL}_2(F)\)

DOI10.1016/j.jalgebra.2011.12.017zbMath1248.22009OpenAlexW2093981779MaRDI QIDQ441400

Ehud de Shalit, D. A. Kazhdan

Publication date: 23 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.12.017

zbMATH Keywords

smooth representationsintegral structuresKirillov model

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (4)

Existence of invariant norms for \(\mathrm{GL}_2\) ⋮ 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

Cites Work

• \(p\)-adic \(L\)-functions and unitary completions of representations of \(p\)-adic reductive groups
• A criterion for integral structures and coefficient systems on the tree of \(\mathrm{PGL}(2,F)\)
• Représentations lisses <i>p</i>-tempérées des groupes <i>p</i>-adiques
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