Operators on Root Datum

• Basic access functions: (co)root space, simple (co)roots, Cartan matrix, number of positive roots, rank, dimension, Cartan type
• Computing isogeny group
• Dynkin diagram
• Roots are stored in the standard ordering, and are accessed by specifying their position in this order. Also computed in this manner are: coroots, reflection matrices of roots and coroots, and the action on the roots.
• Duals, root subdatum, direct sums.
• Properties: Irreducible, crystallographic, simply laced, adjoint, simply connected.