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Combinatorics
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Root Systems
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Cartan types
Dynkin diagrams
Cartan matrices
Coxeter matrices
Folded Cartan Types
Root systems
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Documentation
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Tutorial: visualizing root systems
First plots
Alcoves and chambers
Alcove pictures for affine types
Higher dimension affine pictures
Drawing on top of a root system plot
Hand drawing on top of a root system plot (aka Coxeter graph paper)
Drawing custom objects on top of a root system plot
Root lattice realizations
Group algebras of root lattice realizations
Weight lattice realizations
Root lattices and root spaces
Weight lattices and weight spaces
Ambient lattices and ambient spaces
Coxeter Groups
Weyl Groups
Weyl Character Rings
Branching Rules
Hecke algebra representations
Nonsymmetric Macdonald polynomials
Root System Types
Root system data for affine Cartan types
Root system data for dual Cartan types
Root system data for reducible Cartan types
Root system data for relabelled Cartan types
Root system data for type A
Root system data for type B
Root system data for type C
Root system data for type D
Root system data for type E
Root system data for type F
Root system data for type G
Root system data for type H
Root system data for type I
Root system data for (untwisted) type A affine
Root system data for (untwisted) type B affine
Root system data for (untwisted) type C affine
Root system data for (untwisted) type D affine
Root system data for (untwisted) type E affine
Root system data for (untwisted) type F affine
Root system data for (untwisted) type G affine
Root system data for type BC affine
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