A method of proving non-unitarity of representations of \(p\)-adic groups. I
From MaRDI portal
Publication:611982
DOI10.1007/s00209-009-0542-7zbMath1215.22009OpenAlexW1982669965MaRDI QIDQ611982
Publication date: 3 January 2011
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-009-0542-7
unitary representationsclassical \(p\)-adic groupsgeneralized Steinberg representationnon-unitarity criterion
Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items
Unitarizability in Corank Three for Classical 𝑝-adic Groups ⋮ The Tadić philosophy: an overview of the guiding principles and underlying ideas in the work of Marko Tadić ⋮ Unitary representations of \(p\)-adic \(U(5)\)
Cites Work
- Unnamed Item
- Unnamed Item
- The unitarizability of the Aubert dual of strongly positive square integrable representations
- Special representations of reductive p-adic groups are not integrable
- Twisted endoscopy and reducibility of induced representations for \(p\)- adic groups
- Asymptotic properties of unitary representations
- Representation theory and sheaves on the Bruhat-Tits building
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- Structure arising from induction and Jacquet modules of representations of classical \(p\)-adic groups
- Erratum à “Dualité dans le groupe de Grothendieck de la catégorie des représentations lisses de longueur finie d’un groupe réductif p-adique”
- On regular square integrable representations of p -adic groups
- Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
- Induced representations of reductive ${\germ p}$-adic groups. I
- Construction of discrete series for classical 𝑝-adic groups
- On supports of induced representations for symplectic and odd-orthogonal groups
- Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
- Degenerate principal series for even-orthogonal groups
- Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
- Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$
