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Comparisons of General Linear Groups and their Metaplectic Coverings I

Published:2002-02-01
Printed: Feb 2002
• Paul Mezo
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Abstract

We prepare for a comparison of global trace formulas of general linear groups and their metaplectic coverings. In particular, we generalize the local metaplectic correspondence of Flicker and Kazhdan and describe the terms expected to appear in the invariant trace formulas of the above covering groups. The conjectural trace formulas are then placed into a form suitable for comparison.
 MSC Classifications: 11F70 - Representation-theoretic methods; automorphic representations over local and global fields 11F72 - Spectral theory; Selberg trace formula 22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05]