Miyawaki type lift for $GSpin(2,10)$

Abstract

Let ${\mathfrak{T}}_2$ (resp. $\mathfrak{T}$) be the Hermitian symmetric domain of $Spin(2,10)$ (resp. $E_{7,3}$). In the previous work, we constructed holomorphic cusp forms on $\mathfrak{T}$ from elliptic cusp forms with respect to $S{L}_2(\mathbb{Z})$. By using such cusp forms we construct holomorphic cusp forms on ${\mathfrak{T}}_2$ which are similar to Miyawaki lift in symplectic groups established by T. Ikeda.

arXiv comment26 pages