Filtrations of the discrete series of \(SL_ 2(q)\) via crystalline cohomology

DOI10.1016/0021-8693(90)90253-KzbMath0724.20030OpenAlexW2063644183MaRDI QIDQ2644770

Burkhard Haastert, Jens Carsten Jantzen

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90253-k

zbMATH Keywords

Weyl modulesFrobenius morphismrepresentation theoryfiltrationscrystalline cohomologyalgebraic groups of Lie typeplane projective curves

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) (p)-adic cohomology, crystalline cohomology (14F30) Cohomology theory for linear algebraic groups (20G10)

Related Items (7)

First covering of the Drinfel'd upper half-plane and Banach representations of \(\mathrm{GL}_2(\mathbb Q_p)\) ⋮ Crystalline interpretation of the Deligne-Illusie isomorphism ⋮ 𝑝-group Galois covers of curves in characteristic 𝑝 ⋮ Reduction mod \(p\) of cuspidal representations of \(\text{GL}_2(\mathbb F_{p^n})\) and symmetric powers. ⋮ Filtrations of symmetric powers via crystalline cohomology ⋮ On the crystalline cohomology of Deligne-Lusztig varieties ⋮ The de Rham cohomology of the Suzuki curves

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