Generalized transvectants and Siegel modular forms

P. J. Olver, M. Petitot, P. Solé

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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
Volume38
Issue number3
DOIs
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:
Copyright 2008 Elsevier B.V., All rights reserved.

Keywords

  • Omega operator
  • Rankin-Cohen bracket
  • Siegel modular form
  • Symplectic group
  • Transvectant

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