List of things named after Sophus Lie

This is a list of things named after Sophus Lie. Sophus Lie (1842 – 1899), a mathematician, is the eponym of all of the things (and topics) listed below.

• Carathéodory–Jacobi–Lie theorem
• Lie algebra
  • Lie-* algebra
  • Lie algebra bundle
  • Lie algebra cohomology
  • Lie algebra representation
  • Lie algebroid
  • Lie bialgebra
  • Lie coalgebra
  • Lie conformal algebra
  • Lie superalgebra
  • Abelian Lie algebra
  • Affine Lie algebra
  • Anyonic Lie algebra
  • Compact Lie algebra
  • Complex Lie algebra
  • Exceptional Lie algebra
  • Finite-dimensional and infinite-dimensional Lie algebras
  • Free Lie algebra
  • Graded Lie algebra
    • Differential graded Lie algebra
  • Homotopy Lie algebra
  • Malcev Lie algebra
  • Modular Lie algebra
  • Monster Lie algebra
  • Nilpotent Lie algebra
  • Nilradical of a Lie algebra
  • Orthogonal symmetric Lie algebra
  • Parabolic Lie algebra
  • Pre-Lie algebra
  • Quadratic Lie algebra
  • Quasi-Frobenius Lie algebra
  • Quasi-Lie algebra
  • Real Lie algebras
  • Reductive Lie algebra
  • Restricted Lie algebra
  • Semisimple Lie algebra
  • Split Lie algebra
  • Symplectic Lie algebra
  • Tangent Lie group
  • Tate Lie algebra
  • Toral Lie algebra
• Lie bracket of vector fields
• Lie derivative
• Lie group
  • Lie group decomposition
  • Lie groupoid
  • Lie subgroup
  • Complex Lie group
  • Local Lie group
  • Poisson–Lie group
  • Real Lie groups
  • Simple Lie group
  • Solvable Lie algebra
  • Special linear Lie algebra
  • Special orthogonal Lie algebra
  • Symmetric Lie group
  • Tangent Lie group
• Lie point symmetry
• Lie product formula
• Lie ring
• Lie sphere geometry
• Lie theory
• Lie–Kolchin theorem
• Lie–Palais theorem
• Lie's theorem
• Lie's third theorem
• Lie transform