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Rank One Reducibility for Metaplectic Groups via Theta Correspondence

Published online by Cambridge University Press:  20 November 2018

Marcela Hanzer  and
Goran Muić
Marcela Hanzer
Affiliation:
Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia email: marcela.hanzer@math.hrgmuic@math.hr
Goran Muić
Affiliation:
Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia email: marcela.hanzer@math.hrgmuic@math.hr
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Abstract

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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.

Keywords

22E5011F70
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 3 , 01 June 2011 , pp. 591 - 615
Copyright
Copyright © Canadian Mathematical Society 2011

References

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