Root Systems¶
Quickref¶
- T = CartanType(["A", 3]), T.is_finite()– Cartan types
- T.dynkin_diagram(), DynkinDiagram(["G",2])– Dynkin diagrams
- T.cartan_matrix(), CartanMatrix(["F",4])– Cartan matrices
- RootSystem(T).weight_lattice()– Root systems
- WeylGroup(["B", 6, 1]).simple_reflections()– Affine Weyl groups
- WeylCharacterRing(["D", 4])– Weyl character rings
Introductory material¶
- Root Systems – This overview 
- CartanType– An introduction to Cartan types
- RootSystem– An introduction to root systems
- Tutorial: visualizing root systems – A root system visualization tutorial 
- The Lie Methods and Related Combinatorics thematic tutorial 
Cartan datum¶
Root systems¶
Coxeter groups¶
See also
The categories CoxeterGroups and WeylGroups
Finite reflection groups¶
See also
The category ComplexReflectionGroups