3. Data Book

Many algorithms in CharLiePy reduce a problem to the case of irreducible root systems and then run specialised algorithms for that particular case. Thus much of the data in CharLiePy depends upon the irreducible root systems.

In this section of the documentation we keep track of our assumptions and conventions for each irreducible type. For example, here it is described our conventions for the labellings of irreducible characters and conjugacy classes of these groups.

The sections are listed using the familiar classification of irreducible root systems. A number preceeding a type denotes that we consider an automorphism of the root system of that order.

• 3.1. Type \(\mathrm{A}_n\)
• 3.2. Type \({}^2\mathrm{A}_n\)