论文标题
群体理论和现代舞蹈组成
Group Theory and Modern Dance Composition
论文作者
论文摘要
本文将研究通常用于Laban运动分析（LMA）的空间参考系统以及对这些系统的小组行动的后果。可以在LMA的所有参考系统中证明它们是群体同构的，可以定义编舞组成中反转和换位的基本概念。多面体上的轨道和稳定器的概念用于数学上定义这些编排设备，并且这些相同的概念可用于定义用于舞蹈中空间参考的标准Polyhedra上的新的编排设备。
This paper will examine the spatial reference systems typically used in Laban Movement Analysis (LMA), and the consequences of group actions on these systems. The elementary notions of inversion and transposition in choreographic composition can be defined in such a way that they can be shown to be group homomorphisms in all the reference systems of LMA. The notions of orbits and stabilizers on polyhedra are used to mathematically define these choreographic devices, and these same notions can be used to define new choreographic devices on the standard polyhedra used for spatial reference in dance.
