Web26 giu 2024 · $\begingroup$ Profoundly helpful, @Torsten-Schoeneberg , THANK YOU! I think this is the big picture answer, with many details, that I need in order to understand this subject. Tomorrow I will study further what you've written. where denotes the complex conjugate of the complex number u. This group is isomorphic to SL(2,ℝ) and Spin(2,1) where the numbers separated by a comma refer to the signature of the quadratic form preserved by the group. The expression in the definition of SU(1,1) is an Hermitian form which becomes an isotropic quadratic form when u and v are expanded with their real components.
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