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        "quote": "这是 $\\mathbb R^d$ 上复值函数空间与 $\\mathbb C^d$ 上反交换函数空间的张量积，分别受Weyl代数 $\\operatorname{Weyl}(2d,\\mathbb C)$ 和Clifford代数 $\\operatorname{Cliff}(2d,\\mathbb C)$ 作用。$Q_+,Q_-$ 互为伴随，且平方均为零。数学中，这个空间就是复值微分形式空间 $\\Omega^*(\\mathbb R^d)$；次数从 $0$（函数）到 $d$。其上的[<u class=\"concept-term\" data-concept-reference=\"concepts/differential-geometry/de-rham-differential\" data-concept-identity=\"urn:uuid:c4df2f3d-e41b-4bde-949e-8989739a863d\" data-concept-route=\"/concept-identities#concept-c4df2f3d-e41b-4bde-949e-8989739a863d\" id=\"first-f2d1370f98e339cb27f5-zh\">de Rham微分(de Rham differential)</u>](../../../../../concepts/differential-geometry/de-rham-differential) $d$ 满足 $d^2=0$。利用欧氏内积和积分，可在微分形式上定义厄米内积；$d$ 的伴随 $\\delta$ 同样平方为零。微分形式上的[<u class=\"concept-term\" data-concept-reference=\"concepts/differential-geometry/hodge-laplacian\" data-concept-identity=\"urn:uuid:94acb024-2f20-4221-93e3-8560f3208f93\" data-concept-route=\"/concept-identities#concept-94acb024-2f20-4221-93e3-8560f3208f93\" id=\"first-957f0615e74d4b6adf75-zh\">拉普拉斯算符(Laplacian operator)</u>](../../../../../concepts/differential-geometry/hodge-laplacian)为",
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