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        "quote": "In special relativity, spacetime is a real four-dimensional vector space with an indefinite inner product, of type $(r,s)=(1,3)$ or $(3,1)$ according to convention. Its preserving linear transformations form the [<u class=\"concept-term\" data-concept-reference=\"concepts/lie-theory/lorentz-group\" data-concept-identity=\"urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021\" data-concept-route=\"/concept-identities#concept-937e2225-ecf0-4854-ab8b-d17f476f7021\" id=\"first-762a1e60efdf89af31a4-en\">Lorentz group</u>](../../../../../concepts/lie-theory/lorentz-group); the orientation-preserving part is denoted $SO(3,1)$ or $SO(1,3)$. Later chapters encounter the corresponding algebras $\\operatorname{Cliff}(3,1,\\mathbb R)$ or $\\operatorname{Cliff}(1,3,\\mathbb R)$. Their generators $\\gamma_j$ are known as “[<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-mechanics/dirac-gamma-matrices\" data-concept-identity=\"urn:uuid:9445e0c4-8ed1-4567-844b-c66f13045539\" data-concept-route=\"/concept-identities#concept-9445e0c4-8ed1-4567-844b-c66f13045539\" id=\"first-73ede448c89ff1a9dee8-en\">Dirac $\\gamma$-matrices</u>](../../../../../concepts/quantum-mechanics/dirac-gamma-matrices)”.",
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