实四元数的矩阵公式

M. Jafari
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引用次数: 0

摘要

实四元数通过哈密顿算子用 4×4 矩阵表示。这些矩阵应用于欧氏 4 空间的旋转,同时确定了 E4 哈密顿运动。我们对这些矩阵进行了分析,并将这些矩阵与矩阵乘积群相结合,发现 6 维李群为
本文章由计算机程序翻译,如有差异,请以英文原文为准。
MATRIX FORMULATION OF REAL QUATERNIONS
Reel kuaterniyonlar Hamilton operatorleri araciligiyla 4×4 matrisler cinsinden ifade edilmistir. Bu matrisler Oklid 4-uzayda rotasyonlar icin uygulanir ve ayni zamanda E4 bir Hamilton hareketleri tespit edilir. Biz bu matrisleri inceledik ve matris carpimi grup ile bu matrislerin kumesi 6boyutun Lie grubu oldugunu gostermektedir
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