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On Hyperbolic Split Quaternions and Hyperbolic Split Quaternion Matrices
Advances in Applied Clifford Algebras, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özyurt, Gözde, ALAGÖZ, Yasemin
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Involutions of Complexified Quaternions and Split Quaternions
Advances in Applied Clifford Algebras, 2012The paper deals with involutions and anti-involutions of the algebra \(\mathbb H\) of Hamilton quaternions, the so called split quaternion algebra \(M_2(\mathbb R)\), and the algebra \(\mathbb C\otimes_R\mathbb H\cong M_2(\mathbb C)\) of biquaternions. The \textit{M.-A. Knus} et al. [Book of Involutions.
Yayli, Yusuf, Bekar, MURAT
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Involutions in Dual Split-Quaternions
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayli, Yusuf
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Involutions in split semi‐quaternions
Mathematical Methods in the Applied Sciences, 2018A map is an involution (resp, anti‐involution) if it is a self‐inverse homomorphism (resp, antihomomorphism) of a field algebra. The main purpose of this paper is to show how split semi‐quaternions can be used to express half‐turn planar rotations in 3‐dimensional Euclidean spaceand how they can be used to express hyperbolic‐isoclinic rotations in 4 ...
Murat Bekar, Yusuf Yayli
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Split Pell and Pell–Lucas Quaternions
Advances in Applied Clifford Algebras, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ümit Tokeşer +2 more
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Discrete Complex Analysis in Split Quaternions
Complex Analysis and Operator Theory, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ren, Guangbin, Zhu, Zeping
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Journal of Mathematical Physics, 2015
In the study of the relation between complexified classical and non-Hermitian quantum mechanics, physicists found that there are links to quaternionic and split quaternionic mechanics, and this leads to the possibility of employing algebraic techniques of split quaternions to tackle some problems in complexified classical and quantum mechanics.
Tongsong Jiang +2 more
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In the study of the relation between complexified classical and non-Hermitian quantum mechanics, physicists found that there are links to quaternionic and split quaternionic mechanics, and this leads to the possibility of employing algebraic techniques of split quaternions to tackle some problems in complexified classical and quantum mechanics.
Tongsong Jiang +2 more
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Spline Split Quaternion Interpolation in Minkowski Space
Advances in Applied Clifford Algebras, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
YAYLI, YUSUF +2 more
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A New Polar Representation for Split and Dual Split Quaternions
Advances in Applied Clifford Algebras, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atasoy, Ali +3 more
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