论文标题
从三角排列获得的固定前矢量空间
Prehomogeneous vector spaces obtained from triangle arrangements
论文作者
论文摘要
在本文中，我们从三角形（称为三角形布置）组成的人物中构建了一系列新系列的固定前向量空间。我们的主要定理指出，在合适的假设下，我们能够通过连接与顶点前均匀矢量空间相对应的两个三角形排列来构建从三角排列获得的固定前向量空间。我们还举例说明了从三角排列获得的均匀矢量空间的例子。他们中的许多人似乎是新的。
In this paper, we construct a new series of prehomogeneous vector spaces from figures made up of triangles, called triangle arrangements. Our main theorem states that, under suitable assumptions, we are able to construct a prehomogeneous vector space obtained from a triangle arrangement by attaching two triangle arrangements corresponding to prehomogeneous vector spaces at a vertex. We also give examples of prehomogeneous vector spaces obtained from triangle arrangements. Many of them seem to be new.
