论文标题
具有Quaternionic类型的载体代表的扁平流形
Flat manifolds with holonomy representation of quaternionic type
论文作者
论文摘要
我们对存在扁平流形的存在的问题感兴趣，而纯种歧管的所有$ \ mathbb r $ r $ - 词素表示的组成部分都是绝对不可约，要么是复杂的，要么是quaternionic类型。在前两种情况下，此类示例是众所周知的。但是，作者未知第三种扁平歧管的存在。在本文中，我们构建了一个示例。此外，我们提出了有限群体的列表，其中不可能为Quaternionic类型的流形构造。
We are interested in the question of the existence of flat manifolds for which all $\mathbb R$-irreducible components of the holonomy representation are either absolutely irreducible, of complex or of quaternionic type. In the first two cases such examples are well known. But the existence of the third type of flat manifolds was unknown to the authors. In this article we construct such an example. Moreover, we present a list of finite groups for which a construction of manifolds of quaternionic type is impossible.
