Relations between Derivations arising from Modular Forms

dc.contributor.author	Pollack, Aaron
dc.date.accessioned	2009-05-04T17:49:26Z
dc.date.available	2009-05-04T17:49:26Z
dc.date.issued	2009-05-04T17:49:26Z
dc.identifier.uri	https://hdl.handle.net/10161/1281
dc.description.abstract	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.
dc.format.extent	257614 bytes
dc.format.mimetype	application/pdf
dc.language.iso	en_US
dc.subject	Modular Forms
dc.title	Relations between Derivations arising from Modular Forms
dc.type	Honors thesis
dc.department	Mathematics