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"quote": "此外，回顾一下，这个表示还有第四种同构形式，即 $\\mathrm{SO}(3)$ 在列向量上的表示。这同样是一个实表示，但可以直接[复化(complexification)](../../../../../concepts/linear-algebra/complexification)。由于 $\\mathfrak{so}(3)$ 与 $\\mathfrak{su}(2)$ 是同构李代数，它们的复化 $\\mathfrak{so}(3)_\\mathbb{C}$ 与 $\\mathfrak{sl}(2,\\mathbb{C})$ 也同构。",
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],
"recorded_dependencies": [],
"reading_paths": [],
"coverage": {
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"whole_book_search_complete": false,
"registered_positions_truncated": false,
"independent_human_review_implied": false
},
"unresolved": [],
"base_revision": "a3801bc752f9e4977f7391979db31cf7495e0f7b99699d98d0dda4bbb5880adb",
"optional_enrichments": []
}