Completing the Spinor Group Commutative Diagram

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  • Commutative diagram of Lie groups: SL(2,C) arrows to SO+(1,3,R) and down to Pin(1,3,R); Pin(1,3,R) arrows to O(1,3,R) and down to a question mark; SO+(1,3,R) arrows down to O(1,3,R); the question mark arrows to GL(4,R); O(1,3,R) arrows down to GL(4,R).
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