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        "quote": "> [!example] <a class=\"object-permalink\" href=\"#example-2-10\">例 2.10</a> \n>\n> $n$ 阶<u id=\"concept-2-special-linear-group\" class=\"concept-term\" data-concept-identity=\"urn:uuid:2b8f1e0e-bfcc-4391-ace1-5809a76204e3\" data-concept-route=\"/concept-identities#concept-2b8f1e0e-bfcc-4391-ace1-5809a76204e3\">特殊线性群(special linear group)</u>，又称<u id=\"concept-2-unimodular-group\" class=\"concept-term\" data-concept-identity=\"urn:uuid:f64cefe3-d339-4f0e-ae61-35c7b848b740\" data-concept-route=\"/concept-identities#concept-f64cefe3-d339-4f0e-ae61-35c7b848b740\">幺模群(unimodular group)</u>，记作 $SL(n,\\mathbb{R})$，由行列式为 $1$ 的 $n\\times n$ 实矩阵组成。由<a href=\"#equation-2-5\" class=\"cross-reference\" id=\"xref-03-matrix-groups-3\" data-reference=\"equation-2-5\">式 (2.5)</a>，矩阵乘法的封闭性为\n>\n> $$\n> \\det\\mathsf{A}=\\det\\mathsf{B}=1\\implies\\det(\\mathsf{A}\\mathsf{B})=\\det\\mathsf{A}\\det\\mathsf{B}=1.\n> $$\n>\n> 单位矩阵 $\\mathsf{I}$ 属于 $SL(n,\\mathbb{R})$，因为 $\\det\\mathsf{I}=1$；取逆的封闭性由下式给出：\n>\n> $$\n> \\det\\mathsf{A}=1\\implies\\det\\mathsf{A}^{-1}=\\frac{1}{\\det\\mathsf{A}}=1.\n> $$",
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