论文标题
有限群体的部分和全球表示
Partial and global representations of finite groups
论文作者
论文摘要
给定有限G组的亚组H，我们开始对G的部分表示的系统研究，该研究仅限于H的全局表示。在适应了[DEP00]的几个结果（与H是琐碎的情况下）后，我们进一步发展了一个有效的理论，可以允许显式计算。作为一个案例研究，我们将理论应用于对称群体及其固定的排列子组1：这提供了对称群体的经典表示理论的自然扩展。
Given a subgroup H of a finite group G, we begin a systematic study of the partial representations of G that restrict to global representations of H. After adapting several results from [DEP00] (which correspond to the case where H is trivial), we develop further an effective theory that allows explicit computations. As a case study, we apply our theory to the symmetric group and its subgroup of permutations fixing 1: this provides a natural extension of the classical representation theory of the symmetric group.
