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        "quote": "本质上，抽象群的表示是将群的元素具体模型化为向量空间上的线性变换的一种方式。若该表示是一一对应的，即若 $\\ker$ $T = \\{ e \\}$ ，则称该表示为 <u id=\"concept-4-faithful-representation\" class=\"concept-term\" data-concept-identity=\"urn:uuid:c1e17053-8805-4fd9-93e0-eb9997fdaf8f\" data-concept-route=\"/concept-identities#concept-c1e17053-8805-4fd9-93e0-eb9997fdaf8f\">忠实表示(faithful representation)</u> 。尽管原则上 $V$ 既可以是实向量空间也可以是复向量空间，我们将主要考虑复向量空间上的表示。若 $V$ 是有限维的，则其维数 $n$ 称为 <u id=\"concept-4-degree-of-a-representation\" class=\"concept-term\" data-concept-identity=\"urn:uuid:1c8384ff-2641-4168-ba63-d81a2dffcea1\" data-concept-route=\"/concept-identities#concept-1c8384ff-2641-4168-ba63-d81a2dffcea1\">表示的次数(degree of a representation)</u> 。我们将几乎完全限于关注有限次数的表示。群表示论在[6–8]中有更为详细的展开。",
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