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unitary group

酉群

本站译名 表示论与李理论 义项编号TS-1365

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Class Field Theory 封面

《Class Field Theory》 · 印刷第 6—7 页 Section 1.2.2「Unitary and Orthogonal Groups」,式 (1.2) 及酉群命名句;本书此处为复数域上正定内积的情形

An $n\times n$ complex matrix $A$ is said to be unitary if the column vectors of $A$ are orthonormal, that is, if $\sum_{l=1}^n\overline{A_{lj}}A_{lk}=\delta_{jk}$. […] Thus, the collection of unitary matrices is a subgroup of $GL(n;\mathbb C)$. We call this group the unitary group and we denote it by $U(n)$.

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