Theta series liftings from orthogonal groups to semi-simple groups
Journal of the Australian Mathematical Society
We study a correspondence between automorphic forms on an orthogonal group and automorphic forms on a semi-simple Lie group associated to an equivariant holomorphic map of a symmetric domain into a Siegel upper half space. We construct an automorphic form on the symmetric domain that corresponds to an automorphic form on an orthogonal group using theta series, and prove that such a correspondence is compatible with the appropriate Hecke operator actions on the corresponding automorphic forms. As an example, we describe the case of spin groups.
Original Publication Date
DOI of published version
Lee, Min Ho, "Theta series liftings from orthogonal groups to semi-simple groups" (2000). Faculty Publications. 3672.