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Group Theory in Physics by Wu-Ki Tung World Scientic c1985 ISBN.
Expi aXaexpi bXb exp i a aXa 1 2. 5The properties of P arent specified in your question but its implicitly clear that P is assumed or proved at that place to commute with all elements of the group or Lie algebra forall gin G quad Pg gP If the image of P were not the full space D_2 but its proper subspace Vsubset D_2 different from 0 however then V would be a representation of the group or Lie algebra. Typical examples of Lie groups are the reals R with the group law being addition Rf 0g and C f 0gwith the group law being multiplication the complex numbers with unit modulus S1 and multiplication and matrix groups such as SUnSOnGLn. Perseus Books Advanced Book Program c1999. I will assume some knowledge of linear algebra eg hermitean and unitary matrices but more important is the ability to grasp new ideas quickly. 9A Lie group is a group which is also a di erentiable manifold.
Canonical Actions Of Lie Groups And Algebras 1 is also Weyl invariant in the sense that all the fields that is x are inert.
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On Theoretical Physics Read pages 45-47 of Georgi and finish writing the solution.
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