Involutions in Dual Split-Quaternions
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Involutions and anti-involutions are self-inverse linear mappings. In three-dimensional Euclidean space , a reflection of a vector in a plane can be represented by an involution or anti-involution mapping obtained by real-quaternions. A reflection of a line about a line in can also be represented by an involution or anti-involution mapping obtained by dual real-quaternions. In this paper, we will represent involution and anti-involution mappings obtaind by dual split-quaternions and a geometric interpretation of each as rigid-body (screw) motion in three-dimensional Lorentzian space .
Açıklama
Anahtar Kelimeler
Real-Quaternions, Dual Split-Quaternions, Involutions, Anti-Involutions, Rigid-Body (Screw) Motions
Kaynak
Advances In Applied Clifford Algebras
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
26
Sayı
2
