Minimal integral models for principal series Weil characters

DOI10.1080/00927872.2023.2222407zbMath1526.20014arXiv2110.14556OpenAlexW3212650014MaRDI QIDQ6094272

Luca Candelori, Yatin Patel

Publication date: 10 October 2023

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

Full work available at URL: https://arxiv.org/abs/2110.14556

zbMATH Keywords

conjectureintegral modelsWeil charactersminimal ring

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Integral representations of finite groups (20C10) Theta functions and abelian varieties (14K25) Topological quantum field theories (aspects of differential topology) (57R56) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

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• Computing modular correspondences for abelian varieties
• Congruence property in conformal field theory
• Integral bases for TQFT modules and unimodular representations of mapping class groups
• Sur certains groupes d'opérateurs unitaires
• Integral bases and invariant vectors for Weil representations
• The Steinberg representation
• Modular group representations associated to SO(p)2-TQFTS
• On integral representations for \(\text{SL}(2,q)\)

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