The local theta correspondence of irreducible type 2 dual reductive pairs

DOI10.2748/TMJ/1178225459zbMath0842.11023OpenAlexW2011235673MaRDI QIDQ1908314

Takao Watanabe

Publication date: 18 March 1996

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225459

zbMATH Keywords

Weil representationdual reductive pairimage of the theta correspondenceBernstein-Zelevinsky classification of representations

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields
• Induced representations of reductive ${\germ p}$-adic groups. I
• On sampling the degree-of-freedom of Student's-\(t\) disturbances

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