Example image of eyePlorer eyePlorer map for 'Lie group': Differentiable manifold Differential structure Group (mathematics) Mathematics Group action Sophus Lie Continuous symmetry Theoretical physics Algebraic geometry Differential equation Differential Galois theory Galois theory Permutation group Differential calculus Topological group Lie algebra Geometry Erlangen program Felix Klein Conformal geometry Euclidean geometry Euclidean group Projective geometry Projective linear group G-structure Riemannian manifold Symplectic manifold Differential geometry Representation theory Algebraic group Claude Chevalley List of finite simple groups Adele ring Automorphic form Number theory Multiplication Smooth function Invertible matrix Real number Compact space Connected space Determinant Rotation (mathematics) Subgroup Circle Diffeomorphism Parametric equation Orthogonal group Classical group Complex manifold