Exponential sums and total Weil representations of finite symplectic and unitary groups

DOI10.1112/PLMS.12390zbMath1486.11149arXiv2005.09055OpenAlexW3100022763MaRDI QIDQ4957065

Nicholas M. Katz, Pham Hũ'u Tiêp

Publication date: 3 September 2021

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09055

zbMATH Keywords

special unitary groupsmonodromy groupexponential sumfinite symplectic groupslocal system

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Exponential sums (11T23) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (3)

Gauss sums and Van der Geer–Van der Vlugt curves ⋮ Monodromy groups of Kloosterman and hypergeometric sheaves ⋮ Condition \((\mathbf{S}+)\) in ranks \(4, 8\), and \(9\)

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