辛群 Symplectic group

（重定向自Unitary symplectic group）

在数学中，辛群可以指涉两类不同但关系密切的群。在本条目中，我们分别称之为Sp(2n,F)与Sp(n)。后者有时也被称作紧致辛群以资区别。许多作者偏好不同的记法，通常是差个二的倍数。本条目采用的记法与矩阵的大小相称。

单词	Unitary symplectic group
释义	Unitary symplectic group 中文百科辛群 Symplectic group （重定向自Unitary symplectic group）在数学中，辛群可以指涉两类不同但关系密切的群。在本条目中，我们分别称之为Sp(2n,F)与Sp(n)。后者有时也被称作紧致辛群以资区别。许多作者偏好不同的记法，通常是差个二的倍数。本条目采用的记法与矩阵的大小相称。英语百科 Symplectic group 辛群（重定向自Unitary symplectic group） In mathematics, the name symplectic group can refer to two different, but closely related, collections of mathematical groups, denoted $Sp(2 n, F)$ and $Sp(n)$ , the latter is called the compact symplectic group. Many authors prefer slightly different notations, usually differing by factors of $2$ . The notation used here is consistent with the size of the matrices used to represent the groups. In Cartan's classification of the simple Lie algebras, the Lie algebra of the complex group $Sp(2 n, C)$ is denoted $C n$ , and $Sp(n)$ is the compact real form of $Sp(2 n, C)$ . Note that when we refer to the (compact) symplectic group it is implied that we are talking about the collection of (compact) symplectic groups, indexed by their dimension $n$ .
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Unitary symplectic group

辛群 Symplectic group

Symplectic group 辛群