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Scharler, Daniel F.; Siegele, Johannes; Schröcker, Hans-Peter

Quadratic split quaternion polynomials: factorization and geometry. (English) Zbl 1448.12001

Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 11, 23 p. (2020).
Summary: 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.

Cited in 3 Documents

MSC:

12E15 Skew fields, division rings
16S36 Ordinary and skew polynomial rings and semigroup rings
51N20 Euclidean analytic geometry

Keywords:

skew polynomial ring; null quadric; Clifford translation; left/right ruling; zero divisor; projective geometry; non-Euclidean geometry
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\textit{D. F. Scharler} et al., Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 11, 23 p. (2020; Zbl 1448.12001)
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References:

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