Erlangen program
Programa de Erlangen: geometría como estudio de invariantes de grupos
- Date
- 1872 · confidence high
- Place
- Erlangen, Germany
- Credited to
- Felix Klein
- People
- 👤 Felix Klein1849–1925
- Field
- Knowledge & symbols
What was discovered
Each geometry (Euclidean, affine, projective, hyperbolic) is characterised by the group of transformations that leave its properties invariant. It unifies 19th-century geometries through group theory.
Sophus Lie developed, in parallel (1873-1893), continuous transformation groups, the basis of modern physics.
What it led to
- Lie groups
- invariant theory
- the symmetry principle in physics
- Cartan geometry