Rank One Reducibility for Metaplectic Groups via Theta Correspondence
Canadian journal of mathematics, Tome 63 (2011) no. 3, pp. 591-615
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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.
Hanzer, Marcela; Muić, Goran. Rank One Reducibility for Metaplectic Groups via Theta Correspondence. Canadian journal of mathematics, Tome 63 (2011) no. 3, pp. 591-615. doi: 10.4153/CJM-2011-015-6
@article{10_4153_CJM_2011_015_6,
author = {Hanzer, Marcela and Mui\'c, Goran},
title = {Rank {One} {Reducibility} for {Metaplectic} {Groups} via {Theta} {Correspondence}},
journal = {Canadian journal of mathematics},
pages = {591--615},
year = {2011},
volume = {63},
number = {3},
doi = {10.4153/CJM-2011-015-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-015-6/}
}
TY - JOUR AU - Hanzer, Marcela AU - Muić, Goran TI - Rank One Reducibility for Metaplectic Groups via Theta Correspondence JO - Canadian journal of mathematics PY - 2011 SP - 591 EP - 615 VL - 63 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-015-6/ DO - 10.4153/CJM-2011-015-6 ID - 10_4153_CJM_2011_015_6 ER -
%0 Journal Article %A Hanzer, Marcela %A Muić, Goran %T Rank One Reducibility for Metaplectic Groups via Theta Correspondence %J Canadian journal of mathematics %D 2011 %P 591-615 %V 63 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-015-6/ %R 10.4153/CJM-2011-015-6 %F 10_4153_CJM_2011_015_6
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