A character theory for projective representations of finite groups
A character theory for projective representations of finite groups
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DOI：
10.1016/j.laa.2014.11.027
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发表时间：
2015-03
影响因子：
1.1
通讯作者：
Chuangxun Cheng
中科院分区：
文献类型：
--
作者：
Chuangxun Cheng
在本文中，我们构建了有限群射影表示的特征理论。因此，我们使用给定的关联 Schur 乘子计算有限群的不同不可约射影表示（直至同构）的数量，并推导此类射影表示的度数的属性。
In this paper, we construct a character theory for projective representations of finite groups. Consequently, we compute the number of distinct irreducible projective representations (up to isomorphism) of a finite group with a given associated Schur multiplier and deduce properties on the degrees of such projective representations.