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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Modular forms on non-linear double covers of algebraic groups


Authors: Hung Yean Loke and Gordan Savin
Journal: Trans. Amer. Math. Soc. 362 (2010), 4901-4920
MSC (2010): Primary 22E46, 22E47
Published electronically: April 9, 2010
MathSciNet review: 2645055
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Abstract: We construct automorphic representations of non-linear two-fold covers of simply connected Chevalley groups via residues of Eisenstein series. In the process, we establish some basic results in representation theory of local groups.


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Additional Information

Hung Yean Loke
Affiliation: Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543
Email: matlhy@nus.edu.sg

Gordan Savin
Affiliation: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
Email: savin@math.utah.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-10-05097-X
PII: S 0002-9947(10)05097-X
Received by editor(s): October 15, 2008
Received by editor(s) in revised form: April 9, 2009
Published electronically: April 9, 2010
Article copyright: © Copyright 2010 American Mathematical Society