TY - JOUR
T1 - Transvectants, modular forms, and the Heisenberg algebra
AU - Olver, Peter J.
AU - Sanders, Jan A.
N1 - Funding Information:
1Supported in part by NSF Grant DMS 98-03154.
PY - 2000/10
Y1 - 2000/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0034288566&partnerID=8YFLogxK
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U2 - 10.1006/aama.2000.0700
DO - 10.1006/aama.2000.0700
M3 - Article
AN - SCOPUS:0034288566
SN - 0196-8858
VL - 25
SP - 252
EP - 283
JO - Advances in Applied Mathematics
JF - Advances in Applied Mathematics
IS - 3
ER -