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Rank One Reducibility for Metaplectic Groups via Theta Correspondence

  Published:2011-03-04
 Printed: Jun 2011
  • Marcela Hanzer,
    Department of Mathematics, University of Zagreb, 10000 Zagreb, Croatia
  • Goran Muić,
    Department of Mathematics, University of Zagreb, 10000 Zagreb, Croatia
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Abstract

We calculate reducibility for the representations of metaplectic groups induced from cuspidal representations of maximal parabolic subgroups via theta correspondence, in terms of the analogous representations of the odd orthogonal groups. We also describe the lifts of all relevant subquotients.
MSC Classifications: 22E50, 11F70 show english descriptions Representations of Lie and linear algebraic groups over local fields [See also 20G05]
Representation-theoretic methods; automorphic representations over local and global fields
22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05]
11F70 - Representation-theoretic methods; automorphic representations over local and global fields
 

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