Deligne-Lusztig duality and wonderful compactification

DOI10.1007/s00029-018-0391-5zbMath1496.20075arXiv1701.07329OpenAlexW2963143577MaRDI QIDQ2413220

Roman Bezrukavnikov, Joseph Bernstein, D. A. Kazhdan

Publication date: 10 April 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.07329

zbMATH Keywords

Serre functorwonderful compactificationsmooth representationhomological dualityDeligne-Lusztig dualityJacket functor

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Homological methods in group theory (20J05) Analysis on (p)-adic Lie groups (22E35) Linear algebraic groups over local fields and their integers (20G25)

Related Items

On an invariant bilinear form on the space of automorphic forms via asymptotics, An analog of the Deligne-Lusztig duality for \((\mathfrak{g}, K)\)-modules, On a duality theorem of Schneider-Stuhler, Unitarizability in Corank Three for Classical 𝑝-adic Groups, Deligne–Lusztig duality on the moduli stack of bundles, Conjectures and results about parabolic induction of representations of \(\mathrm{GL}_n(F)\), Geometric conditions for \(\square\)-irreducibility of certain representations of the general linear group over a non-Archimedean local field, Parabolic induction and perverse sheaves on \(W \backslash \mathfrak{h} \), On unitarizability and Arthur packets, Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field, The explicit Zelevinsky–Aubert duality

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