Dual Quaternion Involutions and Anti-Involutions
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
An involution or anti-involution is a self-inverse linear mapping. In this paper, we present involutions and anti-involutions of dual quaternions. In order to do this, quaternion conjugate, dual conjugate and total conjugate are defined for a dual quaternion and these conjugates are used in some transformations in order to check whether involution or anti-involution axioms are being satisfied or not by these transformations. Finally, geometric interpretations of real quaternion and dual quaternion involutions and anti-involutions are given.
Açıklama
Anahtar Kelimeler
Real Quaternions, Dual Numbers, Dual Quaternions, Involutions, Anti-Involutions
Kaynak
Advances In Applied Clifford Algebras
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
23
Sayı
3
