A minimal even type of the 2-adic Weil representation

DOI10.1007/s00209-013-1253-7zbMath1294.22005arXiv1209.1429OpenAlexW2147424871MaRDI QIDQ2249627

Aaron Wood

Publication date: 3 July 2014

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1429

zbMATH Keywords

Weil representationmetaplectic groupHecke algebra correspondenceresidual characteristic 2

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items

Hecke algebra correspondences for the metaplectic group ⋮ A Hecke algebra on the double cover of a Chevalley group over \(\mathbb{Q}_2\)

Cites Work

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• Representations of the two-fold central extension of \(\text{SL}_2(\mathbb Q_2)\)
• Sur certains groupes d'opérateurs unitaires
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Representations of metaplectic groups II: Hecke algebra correspondences
• On the Self-Duality of Q p

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