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TWISTED DOUBLING INTEGRALS FOR BRYLINSKI–DELIGNE EXTENSIONS OF CLASSICAL GROUPS

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  01 December 2021

Yuanqing Cai Open the ORCID record for Yuanqing Cai [Opens in a new window]
Yuanqing Cai*
Affiliation:
Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University, Kakumamachi, Kanazawa, Ishikawa, 920-1192, Japan
*
cai@se.kanazawa-u.ac.jp
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Abstract

We explain how to develop the twisted doubling integrals for Brylinski–Deligne extensions of connected classical groups. This gives a family of global integrals which represent Euler products for this class of nonlinear extensions.

Keywords

Brylinski–Deligne extensionstwisted doubling integralstensor product L-functions

MSC classification

Primary: 11F70: Representation-theoretic methods; automorphic representations over local and global fields
Secondary: 11F66: Langlands $L$-functions; one variable Dirichlet series and functional equations

Information

Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 4 , July 2023 , pp. 1931 - 1985
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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