Infinite Dimensional Lie Groups with Applications to Mathematical Physics

  title={Infinite Dimensional Lie Groups with Applications to Mathematical Physics},
  author={Rudolf Schmid},
We give a survey of infinite dimensional Lie groups and show some applications and examples in mathematical physics. This includes diffeomorphism groups and their natural subgroups like volume preserving, symplectic and contact transformations, as well as gauge groups, quantomorphisms and loop groups. Applications include fluid dynamics, Maxwell’s equations, plasma physics and BRST symmetries in quantum field theory. We discuss the Lie group structures of pseudodifferential and Fourier integral… CONTINUE READING
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