Faster access than browser!Similarities between Coxeter group and Dynkin diagram
Coxeter group and Dynkin diagram have 14 things in common (in Unionpedia): Coxeter element, Coxeter–Dynkin diagram, Crystallographic restriction theorem, Dihedral group, Dynkin diagram, F4 (mathematics), G2 (mathematics), Mathematics, Reflection group, Simple Lie group, Symmetric group, Uniform polytope, Weyl group, 4 21 polytope.
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Coxeter group · Coxeter element and Dynkin diagram ·
Coxeter–Dynkin diagram
In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).
Coxeter group and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Dynkin diagram ·
Crystallographic restriction theorem
The crystallographic restriction theorem in its basic form was based on the observation that the rotational symmetries of a crystal are usually limited to 2-fold, 3-fold, 4-fold, and 6-fold.
Coxeter group and Crystallographic restriction theorem · Crystallographic restriction theorem and Dynkin diagram ·
Dihedral group
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections.
Coxeter group and Dihedral group · Dihedral group and Dynkin diagram ·
Dynkin diagram
In the mathematical field of Lie theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line).
Coxeter group and Dynkin diagram · Dynkin diagram and Dynkin diagram ·
F4 (mathematics)
In mathematics, F4 is the name of a Lie group and also its Lie algebra f4.
Coxeter group and F4 (mathematics) · Dynkin diagram and F4 (mathematics) ·
G2 (mathematics)
In mathematics, G2 is the name of three simple Lie groups (a complex form, a compact real form and a split real form), their Lie algebras \mathfrak_2, as well as some algebraic groups.
Coxeter group and G2 (mathematics) · Dynkin diagram and G2 (mathematics) ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Coxeter group and Mathematics · Dynkin diagram and Mathematics ·
Reflection group
In group theory and geometry, a reflection group is a discrete group which is generated by a set of reflections of a finite-dimensional Euclidean space.
Coxeter group and Reflection group · Dynkin diagram and Reflection group ·
Simple Lie group
In group theory, a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups.
Coxeter group and Simple Lie group · Dynkin diagram and Simple Lie group ·
Symmetric group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.
Coxeter group and Symmetric group · Dynkin diagram and Symmetric group ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
Coxeter group and Uniform polytope · Dynkin diagram and Uniform polytope ·
Weyl group
In mathematics, in particular the theory of Lie algebras, the Weyl group of a root system Φ is a subgroup of the isometry group of the root system.
Coxeter group and Weyl group · Dynkin diagram and Weyl group ·
4 21 polytope
In 8-dimensional geometry, the 421 is a semiregular uniform 8-polytope, constructed within the symmetry of the E8 group.
4 21 polytope and Coxeter group · 4 21 polytope and Dynkin diagram ·
The list above answers the following questions
- What Coxeter group and Dynkin diagram have in common
- What are the similarities between Coxeter group and Dynkin diagram
Coxeter group and Dynkin diagram Comparison
Coxeter group has 141 relations, while Dynkin diagram has 59. As they have in common 14, the Jaccard index is 7.00% = 14 / (141 + 59).
References
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