Transvectants, modular forms, and the Heisenberg algebra

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Abstract

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. © 2000 Academic Press.

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Olver, P. J., & Sanders, J. A. (2000). Transvectants, modular forms, and the Heisenberg algebra. Advances in Applied Mathematics, 25(3), 252–283. https://doi.org/10.1006/aama.2000.0700

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