Current algebra

Certain commutation relations among the current density operators in quantum field theories define an infinite-dimensional Lie algebra called a current algebra.[1] Mathematically these are Lie algebras consisting of smooth maps from a manifold into a finite dimensional Lie algebra.[2]

  1. ^ Goldin 2006
  2. ^ Kac, Victor (1983). Infinite Dimensional Lie Algebras. Springer. p. x. ISBN 978-1475713848.