Archimedean distinguished representations and exceptional poles

DOI10.1007/S00229-024-01568-WMaRDI QIDQ6593258

Akash Yadav

Publication date: 26 August 2024

Published in: Manuscripta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Rankin-Selberg \(L\)-functiondistinguished representationAsai \(L\)-function

Mathematics Subject Classification ID

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)

Cites Work

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• Distinction by the quasi-split unitary group
• Reducibility of generalized principal series representations
• Gelfand-Kirillov dimension for Harish-Chandra modules
• On zeroes of the twisted tensor \(L\)-function
• A proof of Kirillov's conjecture
• Distinguished representations and exceptional poles of the Asai \(L\)-function
• Some results on Archimedean Rankin-Selberg integrals
• Distinguished representations of \(\mathrm{GL}_n(\mathbb C)\)
• A note on the Kirillov model for representations of \(\mathrm{GL}_n(\mathbb{C})\)
• Rankin-Selberg Convolutions
• Transcending Classical Invariant Theory
• Distinguished representations and poles of twisted tensor 𝐿-functions
• Archimedean Theory and 𝜖-Factors for the Asai Rankin-Selberg Integrals

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