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Spin Homomorphism

  • Definition: The rule that sends P to gamma_P defines a surjective homomorphism gamma: SU_2 -> SO_3, the spin homomorphism. Its kernel is the center {+-I} of SU_2. (SU_2 stands for the special unitary group of 2x2 matrices and SO_3 stands for the special orthogonal group of 3x3 matrices.)

    Source: Algebra, second edition by Michael Artin

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