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).
- Ikeda lift
- Langlands functoriality
- Miyawaki type lift
- Tube domain associated to orthogonal groups
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