论文标题
半标志性表示和扭曲表示组
Semi-Projective Representations and Twisted Representation Groups
论文作者
论文摘要
半标志性表示是有限基团进入一个磁场上有限维矢量空间的半标志性转换组的同态。 Schur的射影表示表示组的概念扩展到半标志性表示,这是该磁场是代数关闭的假设。给出了一个计算机算法,该算法在给定有限组中产生所有此类扭曲的表示组,在复数领域的微不足道或共轭作用下。
A semi-projective representation is a homomorphism of a finite group into the group of semi-projective transformations of a finite dimensional vector space over a field. Schur's concept of a representation group for projective representations is extended to semi-projective representations under the assumption that the field is algebraically closed. A computer algorithm is given that produces, for a given finite group, all such twisted representation groups under trivial or conjugation actions on the field of complex numbers.