Category decomposition of \(\operatorname{Rep}_k( \mathrm{SL}_n(F))\)

DOI10.1016/j.jalgebra.2022.02.016zbMath1506.22013arXiv2110.03670OpenAlexW4221098457MaRDI QIDQ2132457

Peiyi Cui

Publication date: 28 April 2022

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

Full work available at URL: https://arxiv.org/abs/2110.03670

zbMATH Keywords

special linear groupsblock decompositionBernstein decompositionmodulo \(\ell\) representations of \(p\)-adic groups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

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• Types modulo ℓ pour les formes intérieures de GL_nsur un corps local non archimédien
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Representations of SL2(Fq)
• The Admissible Dual of SL(N ) II
• THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH -MODULES

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