Transvectants, modular forms, and the Heisenberg algebra

Authors
Olver, PJ Sanders, JA
Citation
Pj. Olver et Ja. Sanders, Transvectants, modular forms, and the Heisenberg algebra, ADV APPL MA, 25(3), 2000, pp. 252-283
Citations number
51
Categorie Soggetti
Mathematics
Journal title
ADVANCES IN APPLIED MATHEMATICS
ISSN journal
01968858 → ACNP
Volume
25
Issue
3
Year of publication
2000
Pages
252 - 283
Database
ISI
SICI code
0196-8858(200010)25:3<252:TMFATH>2.0.ZU;2-K
Abstract
We discuss the amazing interconnections between normal form theory, classic al invariant theory and transvectants. modular forms and Rankin-Cohen brack ets, representations of the Heisenberg algebra, differential invariants, so litons, Hirota operators, star products and Moyal brackets, and coherent st ates. (C) 2000 Academic Press.