Root Systems¶
Quickref¶
T = CartanType(["A", 3]), T.is_finite()– Cartan typesT.dynkin_diagram(), DynkinDiagram(["G",2])– Dynkin diagramsT.cartan_matrix(), CartanMatrix(["F",4])– Cartan matricesRootSystem(T).weight_lattice()– Root systemsWeylGroup(["B", 6, 1]).simple_reflections()– Affine Weyl groupsWeylCharacterRing(["D", 4])– Weyl character rings
Introductory material¶
Root Systems – This overview
CartanType– An introduction to Cartan typesRootSystem– An introduction to root systemsTutorial: visualizing root systems – A root system visualization tutorial
The Lie Methods and Related Combinatorics thematic tutorial
Root systems¶
Finite reflection groups¶
See also
The category ComplexReflectionGroups