海森伯群 Heisenberg group

（重定向自Heisenberg algebra）

在数学里，海森伯群是以维尔纳·海森伯来命名的，为如下之三阶上三角矩阵所组成的群：

\begin{pmatrix} 1 & a & c\\ 0 & 1 & b\\ 0 & 0 & 1\\ \end{pmatrix}.

元素a、b、c可以取成某种交换环，一般会取成实数环或整数环。

单词	Heisenberg algebra
释义	Heisenberg algebra 中文百科海森伯群 Heisenberg group （重定向自Heisenberg algebra）在数学里，海森伯群是以维尔纳·海森伯来命名的，为如下之三阶上三角矩阵所组成的群： $\begin{pmatrix} 1 & a & c\\ 0 & 1 & b\\ 0 & 0 & 1\\ \end{pmatrix}.$ 元素a、b、c可以取成某种交换环，一般会取成实数环或整数环。英语百科 Heisenberg group 海森伯群（重定向自Heisenberg algebra） In mathematics, the Heisenberg group, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form under the operation of matrix multiplication. Elements a, b and c can be taken from any commutative ring with identity, often taken to be the ring of real numbers (resulting in the "continuous Heisenberg group") or the ring of integers (resulting in the "discrete Heisenberg group").
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Heisenberg algebra