Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
From MaRDI portal
Publication:4846072
DOI10.2307/2154931zbMath0827.22005OpenAlexW4249219693MaRDI QIDQ4846072
Publication date: 11 October 1995
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2154931
irreducible representationsinvolutionGrothendieck ringparabolic induction\(p\)-adic algebraic groupcategory of finite length smooth representations
Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Grothendieck groups (category-theoretic aspects) (18F30)
Related Items
Duality for Ext-groups and extensions of discrete series for graded Hecke algebras ⋮ On Langlands quotients of the generalized principal series isomorphic to their Aubert duals ⋮ Geometric structure in the principal series of the 𝑝-adic group 𝐺₂ ⋮ On an invariant bilinear form on the space of automorphic forms via asymptotics ⋮ L’involution de Zelevinski modulo ℓ ⋮ The basic stratum of some simple Shimura varieties ⋮ Duality for classical 𝑝-adic groups: The half-integral case ⋮ Degenerate principal series for even-orthogonal groups ⋮ Unnamed Item ⋮ Representation theory and sheaves on the Bruhat-Tits building ⋮ Construction of local \(A\)-packets ⋮ The unitary dual of \(p\)-adic \(G_2\) ⋮ On $p$-adic Speh representations ⋮ On a duality theorem of Schneider-Stuhler ⋮ On the cuspidal support of discrete series for \(p\)-adic quasisplit \(\mathrm{Sp}(N)\) and \(\mathrm{SO}(N)\) ⋮ Deligne-Lusztig duality and wonderful compactification ⋮ A method of proving non-unitarity of representations of \(p\)-adic groups. I ⋮ Quaternionic Speh representations ⋮ Unitarizability in Corank Three for Classical 𝑝-adic Groups ⋮ Non-Siegel Eisenstein series for symplectic groups ⋮ The Tadić philosophy: an overview of the guiding principles and underlying ideas in the work of Marko Tadić ⋮ Reducibility points for representations induced from cuspidal ones ⋮ Conjectures and results about parabolic induction of representations of \(\mathrm{GL}_n(F)\) ⋮ Degenerate principal series for classical and odd GSpin groups in the general case ⋮ Distinction of Representations via Bruhat-Tits Buildings of p-Adic Groups ⋮ Unnamed Item ⋮ Unitary representations of \(p\)-adic \(U(5)\) ⋮ The generic dual of \(p\)-adic split \(\mathrm{SO}_{2n}\) and local Langlands parameters ⋮ Rodier type theorem for generalized principal series ⋮ The Langlands dual and unitary dual of quasi-split 𝑃𝐺𝑆𝑂₈^{𝐸} ⋮ Dichotomy for generic supercuspidal representations ofG2 ⋮ Linear Koszul duality ⋮ The 𝑆𝐿(2)-type and base change ⋮ Jacquet modules and irreducibility of induced representations for classical \(p\)-adic groups ⋮ Unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup ⋮ On an algebraic approach to the Zelevinsky classification for classical \(p\)-adic groups ⋮ Global Jacquet-Langlands correspondence, multiplicity one and classification of automorphic representations. With an appendix by Neven Grbac. ⋮ Duality and the normalization of standard intertwining operators ⋮ The unitary dual of p-adic $SO(5)$ ⋮ Sur certains paquets d’Arthur et involution d’Aubert-Schneider-Stuhler généralisée ⋮ Jacquet modules of 𝑝-adic general linear groups ⋮ A sufficient condition for the irreducibility of a parabolically induced representation of \(GL(m,D)\) ⋮ On parabolic induction on inner forms of the general linear group over a non-archimedean local field ⋮ The unitarizability of the Aubert dual of strongly positive square integrable representations ⋮ Jacquet modules and the Langlands classification ⋮ Unitarizability of a certain class of irreducible representations of classical groups ⋮ Eisenstein Series Arising from Jordan Algebras ⋮ Unnamed Item ⋮ THE -MODULAR LOCAL LANGLANDS CORRESPONDENCE AND LOCAL CONSTANTS ⋮ On reducibility of parabolic induction ⋮ Arthur packets for \(G_2\) and perverse sheaves on cubics ⋮ Arthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\) ⋮ Some consequences of Arthur's conjectures for special orthogonal even groups ⋮ Weyl groups, the Dirac inequality, and isolated unitary unramified representations ⋮ Representations of unipotent reduction for SO(2n+1), I: an involution ⋮ Aubert duals of discrete series: the first inductive step ⋮ On unitarizability and Arthur packets ⋮ Endoscopic Classification of representations of Quasi-Split Unitary Groups ⋮ An explicit construction of automorphic representations of the symplectic group with a given quadratic unipotent Arthur parameter ⋮ Aubert duals of strongly positive discrete series and a class of unitarizable representations ⋮ Affine Hecke algebras and generalized standard Young tableaux. ⋮ The Zelevinsky classification of unramified representations of the metaplectic group
