紧群的不可约表示

Irreducible Representation of Compact Groups

证明了紧群的每一个表示都是不可约表示的直和,并结合紧群的平均算子的性质,得到了紧群的不可约表示的相关性质.

In this paper,we proved that every representation of compact group is a direct sum of irreducible representations.Also,according to properties of the mean operator,we get some results about irreducible representations of compact groups.