Universal Weil module

DOI10.2140/pjm.2023.323.359zbMath1525.11045arXiv2103.04840OpenAlexW4379284988MaRDI QIDQ6105394

Justin Trias

Publication date: 9 June 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04840

zbMATH Keywords

integral representationrepresentation theorytheta correspondencereductive \(p\)-adic groups

Mathematics Subject Classification ID

Integral representations (11S23) Modular representations and characters (20C20) Theta series; Weil representation; theta correspondences (11F27) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• On the local theta-correspondence
• Howe correspondences on a \(p\)-adic field
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Abelian varieties and Weil representations
• Sur certains groupes d'opérateurs unitaires
• A proof of the Howe duality conjecture
• The local Langlands correspondence for $GL_n$ in families
• Correspondance de Howe explicite : paires duales de type II
• Weil Representation and Metaplectic Groups over an Integral Domain
• THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH -MODULES
• Semisimple Langlands correspondence for \(\operatorname {GL}(n,F)\bmod \ell\neq p\)

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