Modular forms via invariant theory

Published 10 Nov 2022 in math.NT and math.AG | (2211.05611v3)

Abstract: We discuss two simple but useful observations that allow the construction of modular forms from given ones using invariant theory. The first one deals with elliptic modular forms and their derivatives, and generalizes the Rankin-Cohen bracket, while the second one deals with vector-valued modular forms of genus greater than one.

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