Supplementary code for the paper "$SL_2$-factorizations for groups of Lie type"

The code related to the groups of untwisted types is contained in the following two files, executed in Python 3.12:

• root_system.py is an absolutely minimal implementation of the root systems.
• normal_types.ipynb is a Jupyter notebook providing the verification of the decomposition procedure for exceptional groups.

The code related to the twisted groups and Suzuki—Ree groups is contained in the following two Jupyter notebooks, executed by the SageMath 9.8 kernel running on Python 3.9:

• su3.ipynb deals with the special unitary group of degree 3.
• suzuki.ipynb establishes the required formulas for Suzuki group.