Root Systems

Root systems are basic mathematical objects with fundamental symmetry. They do not only play an important role in geometry and group theory but also in theoretical physics such as string theory. In Lie Theory, the irreducible root systems classify all the simple complex Lie algebras which in turn constitute the basic building blocks of general Lie groups.

I created a little Java program that tries to visualize all irreducible root systems up to rank 8, see screenshot. Go to GitHub in order to download, build and run the program.

Tell me what you think about it and also contact me if you have suggestions for improvements.