We introduce a differential operator invariant under the special linear group SL (2 n, C), and, as a consequence, the symplectic group Sp (2 n, C). Connections with generalized Rankin-Cohen brackets for Siegel modular forms of genus n are sketched.
Bibliographical noteFunding Information:
The work of the first author was supported in part by NSF Grant DMS 05–05293. We would like to thank Charles Conley for helpful remarks and suggestions.
Copyright 2008 Elsevier B.V., All rights reserved.
- Omega operator
- Rankin-Cohen bracket
- Siegel modular form
- Symplectic group