Local duality of Hecke operators for symplectic and orthogonal groups

DOI10.1007/BF01374078zbMath0783.11025OpenAlexW2320542889MaRDI QIDQ1177354

V. G. Zhuravlev

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01374078

zbMATH Keywords

symplectic grouporthogonal groupsHecke operatorsWeil representation

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Theta series; Weil representation; theta correspondences (11F27) Hecke-Petersson operators, differential operators (several variables) (11F60) Classical groups (11E57)

Cites Work

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• The Weil representation, Maslov index and theta series
• Theory of spherical functions on reductive algebraic groups over p-adic fields
• Langlands' Functoriality and the Weil Representation

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