TY - JOUR
T1 - On the distinguished spectrum of Sp(2n) with respect to Sp(n) x Sp(n)
AU - Lapid, Erez Moshe
AU - Offen, Omer
N1 - Publisher Copyright: © 2018 by Kyoto University.
PY - 2018/4
Y1 - 2018/4
N2 - Given a reductive group G and a reductive subgroup H, both defined over a number field F, we introduce the notion of the H-distinguished automorphic spectrum of G and analyze it for the pairs (GL(2n), Sp(n)) and (Sp(2n), Sp(n) x Sp(n)). In the first case we give a complete description by using results of Jacquet and Rallis as well as Offen and Yamana. In the second case we give an upper bound, generalizing vanishing results of Ash, Ginzburg, and Rallis, and a lower bound, extending results of Ginzburg, Rallis, and Soudry.
AB - Given a reductive group G and a reductive subgroup H, both defined over a number field F, we introduce the notion of the H-distinguished automorphic spectrum of G and analyze it for the pairs (GL(2n), Sp(n)) and (Sp(2n), Sp(n) x Sp(n)). In the first case we give a complete description by using results of Jacquet and Rallis as well as Offen and Yamana. In the second case we give an upper bound, generalizing vanishing results of Ash, Ginzburg, and Rallis, and a lower bound, extending results of Ginzburg, Rallis, and Soudry.
UR - http://www.scopus.com/inward/record.url?scp=85044073640&partnerID=8YFLogxK
U2 - https://doi.org/10.1215/21562261-2017-0019
DO - https://doi.org/10.1215/21562261-2017-0019
M3 - مقالة
SN - 2156-2261
VL - 58
SP - 101
EP - 171
JO - Kyoto Journal of Mathematics
JF - Kyoto Journal of Mathematics
IS - 1
ER -