Relations between Derivations arising from Modular Forms
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.
Type
Honors thesisDepartment
MathematicsSubject
Modular FormsPermalink
https://hdl.handle.net/10161/1281Citation
Pollack, Aaron (2009). Relations between Derivations arising from Modular Forms. Honors thesis, Duke University. Retrieved from https://hdl.handle.net/10161/1281.Collections
More Info
Show full item record
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 United States License.
Rights for Collection: Undergraduate Honors Theses and Student papers
Works are deposited here by their authors, and represent their research and opinions, not that of Duke University. Some materials and descriptions may include offensive content. More info