Kirillov models for distinguished representations

DOI10.1017/S0027763000001707zbMath0692.22009MaRDI QIDQ3033997

Courtney Moen

Publication date: 1989

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

actionWeil representationdistinguished representationsmodular forms of half integral weightKirillov modelWhittaker modelsmetaplectic groupsrepresentations of covering groupsL and \(\epsilon \) - factors

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (1)

Restriction of representations of metaplectic \(\mathrm{GL}_{2}(F)\) to tori

Cites Work

• Fourier coefficients of modular forms of half-integral weight
• Distinguished representations and modular forms of half-integral weight
• Interwining Operators and Automorphic Forms for the Metaplectic Group
• On the composition series of principal series representations of a three-fold covering group of SL(2, K)

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