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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.

- 26955 Lie
- Abelian Lie algebra
- Adjoint representation of a Lie algebra
- Adjoint representation of a Lie group
- Affine Lie algebra
- Anyonic Lie algebra
- Atlas of Lie groups and representations
- Carathéodory–Jacobi–Lie theorem
- Compact Lie algebra
- En (Lie algebra)
- Free Lie algebra
- Graded Lie algebra
- Group of Lie type
- Homotopy Lie algebra
- Index of a Lie algebra
- Lie algebra bundle
- Lie algebra cohomology
- Lie algebra representation
- Lie algebra
- Lie algebroid
- Lie bialgebra
- Lie bracket of vector fields
- Lie coalgebra
- Lie conformal algebra
- Lie derivative
- Lie group decomposition
- Lie group homomorphism
- Lie group
- Lie groupoid
- Lie point symmetry
- Lie product formula
- Lie ring
- Lie sphere geometry
- Lie subgroup
- Lie superalgebra
- Lie theory
- Lie-* algebra
- Lie–Kolchin theorem
- Lie–Palais theorem
- Lie's theorem
- Lie's third theorem
- Local Lie group
- Malcev Lie algebra
- Modular Lie algebra
- Monster Lie algebra
- Nilpotent Lie algebra
- Nilradical of a Lie algebra
- Orthogonal symmetric Lie algebra
- Parabolic Lie algebra
- Poisson–Lie group
- Pre-Lie algebra
- Quadratic Lie algebra
- Quasi-Frobenius Lie algebra
- Quasi-Lie algebra
- Radical of a Lie algebra
- Real form (Lie theory)
- Reductive Lie algebra
- Regular element of a Lie algebra
- Representation of a Lie group
- Representation of a Lie superalgebra
- Restricted Lie algebra
- Root system of a semi-simple Lie algebra
- Semisimple Lie algebra
- Simple Lie group
- Solvable Lie algebra
- Special linear Lie algebra
- Special orthogonal Lie algebra
- Split Lie algebra
- Symmetric Lie group
- Symplectic Lie algebra
- Table of Lie groups
- Tangent Lie group
- Tate Lie algebra
- Theory of Lie groups
- Toral Lie algebra