Relations between Derivations arising from Modular Forms
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Denote by L(a; b) the free complex Lie algebra on the two generators a and b. For each integer m 0 there is a derivation 2m on L(a; b) that satis es 2m([a; b]) = 0 and 2m(a) = ad(a)2m(b). In this paper we study the derivation subalgebra u generated by the 2m. In particular, we study the relations between the 2m and nd that these relations are related to the period polynomials of modular forms.
CitationPollack, Aaron (2009). Relations between Derivations arising from Modular Forms. Honors thesis, Duke University. Retrieved from https://hdl.handle.net/10161/1281.
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