We use the Well representation to evaluate certain Gauss sums over a local field, up to +/- 1. Also we construct a cocycle on Sp(2m,R) with a simple formula on the maximal compact torus and we show how to lift homomorphisms j:Sp(2n,R) --> Sp(2m, R) to the double covers of these groups.
机构:
St. Petersburg Department of the Steklov Mathematical Institute, St. PetersburgSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
机构:
Univ Toulon & Var, Inst Math Toulon, F-83957 La Garde, France
Aix Marseille Univ, CNRS, UMR 7373, Inst Math Marseille, F-13288 Marseille 9, FranceUniv Toulon & Var, Inst Math Toulon, F-83957 La Garde, France
Aubry, Yves
Katz, Daniel J.
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Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USAUniv Toulon & Var, Inst Math Toulon, F-83957 La Garde, France
Katz, Daniel J.
Langevin, Philippe
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Univ Toulon & Var, Inst Math Toulon, F-83957 La Garde, FranceUniv Toulon & Var, Inst Math Toulon, F-83957 La Garde, France