regular representation of compact group

In this paper, by the left translation action of the uniform hypergroups, the regular representation and the matrix representation of a uniform hypergroups are given.

通过一致幂群在其自身上的左平移作用,给出了一致幂群的正则表示,进而给出了一致幂群的正则矩阵表示。

In this paper, by the left translation action of the finite volume hypergroups, the regular representation and the matrix representation of a finite volume hypergroups are given.

通过有限容幂群在其自身上的左平移作用,给出了有限容幂群的正则表示,进而给出了有限容幂群的正则矩阵表示。

In this paper,the regular representations and matrix representations of an infinite powergroups are given by the infinite linear group actions on the infinite powergroup.

利用群作用给出了一经线性 (无限 )群在无限幂群上的作用 ,利用这一作用定义了无限幂群的正则表示和相应的矩阵表示 。