Transvectants, modular forms, and the Heisenberg algebra

Peter J. Olver, Jan A. Sanders

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


We discuss the amazing interconnections between normal form theory, classical invariant theory and transvectants, modular forms and Rankin-Cohen brackets, representations of the Heisenberg algebra, differential invariants, solitons, Hirota operators, star products and Moyal brackets, and coherent states.

Original languageEnglish (US)
Pages (from-to)252-283
Number of pages32
JournalAdvances in Applied Mathematics
Issue number3
StatePublished - Oct 2000

Bibliographical note

Funding Information:
1Supported in part by NSF Grant DMS 98-03154.


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