Title:

Bounded Simple Weight Modules of the Lie algebra of Vector Fields on

the Complex Plane

Abstract:

In our recent paper, we give a classification of the uniformly bounded weight modules of the Lie algebra of vector fields on the complex plane.

This is an important first step on the road to finding a classification of the simple weight modules of Lie algebra of vector fields on complex

n-space. In this presentation, I will give a list and description of the tools that we will need to use in order to solve the problem for n dimensions.

Joint work with Dimitar Grantcharov.