论文标题
置换模块和共同体学
Permutation modules and cohomological singularity
论文作者
论文摘要
我们定义了有限群体有限生成的表示形式的新不变的,并具有接值的Noetherian环中的系数。该不变的使用组共同体,并占据系数环的奇异性类别。它检测哪些表示由置换模块控制。
We define a new invariant of finitely generated representations of a finite group, with coefficients in a commutative noetherian ring. This invariant uses group cohomology and takes values in the singularity category of the coefficient ring. It detects which representations are controlled by permutation modules.