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        "quote": "for some $q _ { 1 } , q _ { 2 } , \\cdot \\cdot \\cdot , q _ { m } \\in \\mathbf { Z }$ , where $\\mathbf { C } _ { q }$ denotes the one dimensional representation of $U ( 1 )$ corresponding to the integer $q$ ([theorem 2.3](../chapter-02/02-the-group-u-1-and-its-representations#theorem-2-3)). These $q _ { j }$ are called the “<span id=\"concept-8-weight\" class=\"block-anchor\"></span><u class=\"concept-term\" data-concept-id=\"concept-8-weight\" data-concept-identity=\"urn:uuid:983a40d9-c3f5-4be7-bca7-0561ba9fab62\" data-concept-route=\"/concept-identities#concept-983a40d9-c3f5-4be7-bca7-0561ba9fab62\" id=\"first-3e137bf5a178a24a2a2b-en\">weights</u>” of the representation $V$ . They are exactly the same thing discussed in [chapter 2](../chapter-02/index#section-2) as “charges”, but here we’ll favor the mathematician’s terminology since the $U ( 1 )$ here occurs in a context far removed from that of electromagnetism and its electric charges.",
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