Sturm's operator acting on vector valued K‐types

Mathematische Nachrichten, vol. 293, pp. 1136–1155

Abstract

Abstract We define Sturm's operator for vector valued Siegel modular forms obtaining an explicit description of their holomorphic projection in case of large absolute weight. However, for small absolute weight, Sturm's operator produces phantom terms in addition. This confirms our earlier results for scalar Siegel modular forms.

Authors 1

1. Kathrin Maurischat corresponding Aachen Lehrstuhl A fuer Mathematik

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl A fuer Mathematik RWTH Aachen University Templergraben 55 Aachen 52062 Germany