Transvectants, Modular Forms, and the Heisenberg Algebra

@article{Olver2000TransvectantsMF,
  title={Transvectants, Modular Forms, and the Heisenberg Algebra},
  author={Peter J. Olver and Jan A. Sanders},
  journal={Adv. Appl. Math.},
  year={2000},
  volume={25},
  pages={252-283}
}
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. 

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