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, 11F72, 22E50 show english descriptions Representation-theoretic methods; automorphic representations over local and global fields
Spectral theory; Selberg trace formula
Representations of Lie and linear algebraic groups over local fields [See also 20G05] 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]

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