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        "quote": "Just as the groups $S O ( n )$ have double covers $S p i n ( n )$ , the group $S O ( 3 , 1 )$ has a double cover $S p i n ( 3 , 1 )$ , which we will show can be identified with the group [<u class=\"concept-term\" data-concept-reference=\"concepts/linear-algebra/special-linear-group\" data-concept-identity=\"urn:uuid:7dbfe73d-968a-4ac8-a84a-e865eecfd3aa\" data-concept-route=\"/concept-identities#concept-7dbfe73d-968a-4ac8-a84a-e865eecfd3aa\" id=\"first-e84ed108ff72d19c9bb4-en\">$SL(2,\\mathbb C)$</u>](../../../../../concepts/linear-algebra/special-linear-group) of 2 by 2 complex matrices with unit determinant. This group will have the same Lie algebra as $S O ( 3 , 1 )$ , and we will sometimes refer to either group as the “Lorentz group”.",
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