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Eisenstein Series Arising from Jordan Algebras

Part of: Discontinuous groups and automorphic forms Lie groups

Published online by Cambridge University Press:  09 January 2019

Marcela Hanzer  and
Gordan Savin
Marcela Hanzer
Affiliation:
Department of Mathematics, University of Zagreb, Zagreb, Croatia Email: hanmar@math.hr
Gordan Savin
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA Email: savin@math.utah.edu
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Abstract

We describe poles and the corresponding residual automorphic representations of Eisenstein series attached to maximal parabolic subgroups whose unipotent radicals admit Jordan algebra structure.

Keywords

Eisenstein seriesJordan algebraFourier-Jacobi functor

MSC classification

Primary: 11F70: Representation-theoretic methods; automorphic representations over local and global fields
Secondary: 22E50: Representations of Lie and linear algebraic groups over local fields 22E55: Representations of Lie and linear algebraic groups over global fields and adèle rings
Type
Article
Information
Canadian Journal of Mathematics , Volume 72 , Issue 1 , February 2020 , pp. 183 - 201
Copyright
© Canadian Mathematical Society 2018 

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Footnotes

Author M. H. was supported in part by a Croatian Science Foundation grant no. 9364. Author G. S. was supported in part by an NSF grant DMS-1359774.

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