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A general element of the Lie group SU(1,1) corresponds to a unimodular unitary matrix ( ) where a, 3 E C. Determine the infinitesimal

 

A general element of the Lie group SU(1,1) corresponds to a unimodular unitary matrix ( ) where a, 3 E C. Determine the infinitesimal generators of the Lie algebra su(1, 1) and find its structure constants.

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