University of Wisconsin Stout | Wisconsin's Polytechnic University

These activities have been supported by National Science Foundation Grant DMS-0400558

Project I: Computations of Lie algebra cohomology

• An Introduction to Lie algebras and Lie algebra cohomology
• Student programs for computing Lie algebra cohomology: this package contains four files created by students to compute Lie algebra cohomology
• d1.txt: Magma code to create the first differential as a matrix for a given Lie algebra.
• Matrix.java: a Java program to produce all higher differential matrices given the first differential.
• toMagma.txt: Magma code which will input a matrix from a text file.  Magma commands can then be run on this matrix.
• RemoveZero.java: a Java program to remove the zeros and columns from a matrix and track these removals.  The purpose is to create a matrix smaller in size that could then be read in to Magma.
• The Magma homepage
• Some Computations of Lie algebra cohomology groups

Project II: Vanishing of line bundle cohomology

This work is based on the theory and program developed by Anne Lund Christophersen in her Aarhus University Ph.D. Thesis.

• Introduction to the problem and instructions for running the program
• This package contains all the necessary files.  Download this package, extract the files, and open the run.html file.  

If you have difficulty accessing/using any of these files or want the original java files, please contact Chris Bendel.