conformal algebra

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The following is mainly a summary of Conformal algebra (Lie algebra).

Conformal transformations in d-dimensional Minkowski space

Let us first consider conformal transformations in d\, dimensions where d\neq 2\,.

It is isomorphic to \mathfrak{so}(d+1,1)\, in d\, dimensions for Euclidean space and \mathfrak{so}(d,2)\, in d\, dimensions for Minkowski space.

Conformal transformations in 2-dimensional Minkowski space

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