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

Henry H. Kim; Takuya Yamauchi

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

Number Theory 2015-09-22 v2 Representation Theory

Authors: Henry H. Kim , Takuya Yamauchi

Abstract

Let $\frak T_2$ (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 $SL_2(\mathbb{Z})$ . 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.

Keywords

Miyawaki lift GSpin(2,10) Hermitian symmetric domain holomorphic cusp forms elliptic cusp forms symplectic groups Cherednik algebra automorphic forms

Cite

@article{arxiv.1509.00523,
  title  = {Miyawaki type lift for $GSpin(2,10)$},
  author = {Henry H. Kim and Takuya Yamauchi},
  journal= {arXiv preprint arXiv:1509.00523},
  year   = {2015}
}

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26 pages

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

Abstract

Keywords

Cite

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