Its formulator also has a namesake 2nd theorem, which is related but extends the central concept to infinite dimensional Lie algebras.
The paper which contained the proof of this was actually presented by Felix Klein in 1918. Its formulator also has a namesake 2nd theorem, which is related but extends the central concept to infinite dimensional Lie algebras. Its proof makes use of the Euler-Lagrange equations, which express it almost entirely despite being discovered more than a century earlier. Its analog in quantum field theory, the (*) Ward-Takahashi identity, can be used to show that charge is conserved. Another consequence of it states that the invariance of the Lagrangian in time implies the conservation of energy. For ten points, name this important theorem in modern physics that states that every differentiable symmetry of a system has a corresponding conservation law, discovered by a female German mathematician.
The paper which contained the proof of this was actually presented by Felix Klein in 1918.
Noether's Theorem [or Noether's first theorem; or Noether's symmetry theorem]