Example image of eyePlorer eyePlorer map for 'Root system': Plant Root Euclidean space Mathematics Vector space Lie algebra Lie group Algebraic group Coxeter–Dynkin diagram Singularity theory Eigenvalue, eigenvector and eigenspace Graph theory Dot product Hyperplane Reflection (mathematics) Group (mathematics) Isometry Weyl group Group action Lattice (discrete subgroup) Subspace Bijection Eugene Dynkin Graph (mathematics) Combinatorics Definite bilinear form Cartan matrix Coordinate system Permutation Standard basis Permutation group Transposition (mathematics) Triality Congruence (geometry) E8 lattice Half-integer Integer Parity (mathematics) Isomorphism Hexagram List of simple Lie groups Simple Lie group Simply connected space Adjoint representation Weight (representation theory) Maximal torus E6 (mathematics) E7 (mathematics) E8 (mathematics) F4 (mathematics)
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