TY - JOUR
T1 - A Miyawaki type lift for GSpin(2 , 10)
AU - Kim, Henry H.
AU - Yamauchi, Takuya
N1 - Funding Information:
The first author is partially supported by NSERC. The second author is partially supported by JSPS Grant-in-Aid for Scientific Research (C) No. 15K04787.
Publisher Copyright:
© 2017, Springer-Verlag Berlin Heidelberg.
PY - 2018/2/1
Y1 - 2018/2/1
N2 - Let T2 (resp. T) be the Hermitian symmetric domain of Spin(2 , 10) (resp. E7 , 3). In previous work (Compos. Math 152(2):223–254, 2016), we constructed holomorphic cusp forms on T from elliptic cusp forms with respect to SL2(Z). By using such cusp forms we construct holomorphic cusp forms on T2 which are similar to Miyawaki lift constructed by Ikeda (Duke Math J 131:469–497, 2006) in the context of symplectic groups. It is conditional on the conjectural Jacquet–Langlands correspondence from PGSO(2 , 10) to PGSO(6 , 6).
AB - Let T2 (resp. T) be the Hermitian symmetric domain of Spin(2 , 10) (resp. E7 , 3). In previous work (Compos. Math 152(2):223–254, 2016), we constructed holomorphic cusp forms on T from elliptic cusp forms with respect to SL2(Z). By using such cusp forms we construct holomorphic cusp forms on T2 which are similar to Miyawaki lift constructed by Ikeda (Duke Math J 131:469–497, 2006) in the context of symplectic groups. It is conditional on the conjectural Jacquet–Langlands correspondence from PGSO(2 , 10) to PGSO(6 , 6).
KW - Ikeda lift
KW - Langlands functoriality
KW - Miyawaki type lift
KW - Tube domain associated to orthogonal groups
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U2 - 10.1007/s00209-017-1895-y
DO - 10.1007/s00209-017-1895-y
M3 - Article
AN - SCOPUS:85019166114
SN - 0025-5874
VL - 288
SP - 415
EP - 437
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 1-2
ER -