Quadratic Split Quaternion Polynomials: Factorization and Geometry

被引：0
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作者：
Daniel F. Scharler
Johannes Siegele
Hans-Peter Schröcker
机构：
[1] University of Innsbruck,Department of Basic Sciences in Engineering Sciences
来源：
Advances in Applied Clifford Algebras | 2020年 / 30卷
关键词：
Skew polynomial ring; Null quadric; Clifford translation; Left/right ruling; Zero divisor; Projective geometry; Non-Euclidean geometry; Primary 12D05; Secondary 12D05; 16S36; 51M09; 51M10; 70B10;
D O I：
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学科分类号：
摘要：
We investigate factorizability of a quadratic split quaternion polynomial. In addition to inequality conditions for existence of such factorization, we provide lucid geometric interpretations in the projective space over the split quaternions.
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