Abstract
Using maps due to Ozeki and Broué-Enguehard between graded spaces of invariants for certain finite groups and the algebra of modular forms of even weight we equip these invariants spaces with a differential operator which gives them the structure of a Rankin-Cohen algebra. A direct interpretation of the Rankin-Cohen bracket in terms of transvectant for the group SL(2, C) is given.
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Choie, Y., Mourrain, B. & Solé, P. Rankin-Cohen Brackets and Invariant Theory. Journal of Algebraic Combinatorics 13, 5–13 (2001). https://doi.org/10.1023/A:1008722316223
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DOI: https://doi.org/10.1023/A:1008722316223