Generalized transvectants and Siegel modular forms

P. J. Olver, M. Petitot, P. Solé

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)404-418
Number of pages15
JournalAdvances in Applied Mathematics
Issue number3
StatePublished - Mar 2007

Bibliographical note

Funding 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
  • Transvectant

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