论文标题
海森堡小组在命令p^2的戒指上的射影表示
Projective representations of Heisenberg groups over the rings of order p^2
论文作者
论文摘要
在本文中，我们描述了2个循环，Schur乘数和代表性的离散性海森堡小组的订单$ p^2 $上的离散的海森堡组。我们描述了Heisenberg团体的所有投影表示，其中来自环$ \ Mathbb z/p^2 \ Mathbb z $和$ \ Mathbb {f} _p [t]/（t^2）$，并获得其退化和非脱位的2-赛车的分类。
In this article we describe the 2-cocycles, Schur multiplier and representation group of discrete Heisenberg groups over the unital rings of order $p^2$. We describe all projective representations of Heisenberg groups with entries from the rings $\mathbb Z/p^2\mathbb Z$ and $\mathbb{F}_p[t]/(t^2)$ and obtain a classification of their degenerate and non-degenerate 2-cocycles.
