具有四元数型完整表示的平坦流形
Flat manifolds with holonomy representation of quaternionic type
摘要：
我们感兴趣的问题的存在性平坦流形的所有$\mathbb R$ -不可约组件的holonomy表示是绝对不可约的，复杂的或四元数类型。在前两种情况下，这样的例子是众所周知的。但第三类平坦流形的存在是未知的作者。在这篇文章中，我们构建了这样一个例子。此外，我们提出了一个列表的有限群的四元数型流形的建设是不可能的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
