Florida International University

Title: Graphs, Lie Algebras and Differential Geometry

Director:

Mirroslav Yotov

Email:

yotovm@fiu.edu

Dates of Program: May 7 - June 16, 2012

Summary:

This project is about revealing the relationship between simple graphs and two-step nilpotent Lie algebras via a functor between the categories of the former and the latter objects (discovered by S. Dani, M. Miankar, 2004). The study in the project emphasizes on characterizing of the image of that functor as well as on constructing interesting geometric structures (such as integrable complex structures) on the Lie algebras corresponding to graphs under the functor.
The project is a continuation of the Summer 2011 NREUP research at FIU.

More Information: http://sumres11.fiu.edu/home.html

Student Researchers Supported by MAA: