On semigroup algebras
On semigroup algebras
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DOI：
10.1017/s0305004100029868
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发表时间：
1955-01
影响因子：
0.8
通讯作者：
W. Munn
中科院分区：
文献类型：
--
作者：
W. Munn
在域上矩阵表示有限群的经典理论中，群代数（群环）的概念至关重要。这种代数的主要性质是它是半简单的，只要 的特征为零或素数不整群的阶。因此，代数以及群的表示是完全可约化的。
In the classical theory of representations of a finite group by matrices over a field , the concept of the group algebra (group ring) over is of fundamental importance. The chief property of such an algebra is that it is semi-simple, provided that the characteristic of is zero or a prime not dividing the order of the group. As a consequence of this, the representations of the algebra, and hence of the group, are completely reducible.