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Keyword

split quaternions

Description: Elements of a four-dimensional associative algebra over the real numbers, used in mathematics and geometric or physical modeling.
Wikidata ID: wiki/Q2996919
OpenAlex ID: keywords/split-quaternions
Split Quaternions and Rotations in Semi Euclidean Space E42
2007 · Levent Kula, Yusuf Yayli · Journal of the Korean Mathematical Society · 119
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The roots of a split quaternion
2008 · M. Özdemir · Applied Mathematics Letters · 104
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Split quaternion matrices
2012 · Yasemin Alagöz, Kürşat Hakan Oral, et al. · Miskolc mathematical notes/Mathematical notes · 77
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Split Fibonacci Quaternions
2013 · Mahmut Akyiğit, Hidayet Hüda Kösal, et al. · Advances in Applied Clifford Algebras · 72
Time-Reversal Symmetry in Non-Hermitian Systems
2013 · Masatoshi Sato, Kazuki Hasebe, et al. · 65
On Eigenvalues of Split Quaternion Matrices
2013 · Melek Erdoğdu, Mustafa Özdemir · Advances in Applied Clifford Algebras · 58
Quaternionic and Poisson–Lie structures in three-dimensional gravity: The cosmological constant as deformation parameter
2008 · C. Meusburger, B. J. Schroers · Journal of Mathematical Physics · 55
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Split quaternionic analysis and separation of the series for SL ( 2 , R ) and SL ( 2 , C ) / SL ( 2 , R )
2011 · Igor Frenkel, Matvei Libine · Advances in Mathematics · 52
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Sextonions and the Magic Square
2006 · BRUCE W. WESTBURY · Journal of the London Mathematical Society · 38
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Split quaternion nonlinear adaptive filtering
2009 · Bukhari Che Ujang, Clive Cheong Took, et al. · Neural Networks · 37
Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics
2018 · Tongsong Jiang, Zhaozhong Zhang, et al. · Computer Physics Communications · 35
Cayley Formula, Euler Parameters and Rotations in 3-Dimensional Lorentzian Space
2009 · Sıddıka Özkaldı, Halit Gündoğan · Advances in Applied Clifford Algebras · 35
Split quaternions and particles in (2+1)-space
2014 · Merab Gogberashvili · The European Physical Journal C · 34
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On the Eigenvalues and Eigenvectors of a Lorentzian Rotation Matrix by Using Split Quaternions
2013 · Mustafa Özdemir, Melek Erdoğdu, et al. · Advances in Applied Clifford Algebras · 31
Metric geometries over the split quaternions
2004 · Dancer, A. S., Jorgensen, H. R., et al. · University of Southern Denmark Research Portal (University of Southern Denmark) · 30
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Gleason’s problem, rational functions and spaces of left-regular functions: The split-quaternion setting
2018 · Daniel Alpay, María E. Luna-Elizarrarás, et al. · Israel Journal of Mathematics · 28
On Split k-Fibonacci and k-Lucas Quaternions
2015 · Emrah Polatli, Can Kizilates, et al. · Advances in Applied Clifford Algebras · 28
An Invitation to Split Quaternionic Analysis
2010 · Matvei Libine · Springer eBooks · 28
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Algebraic methods for least squares problem in split quaternionic mechanics
2015 · Zhaozhong Zhang, Ziwu Jiang, et al. · Applied Mathematics and Computation · 27
Split-quaternionic Hopf map, quantum Hall effect, and twistor theory
2010 · Kazuki Hasebe · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 27
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Involutions of Complexified Quaternions and Split Quaternions
2012 · Murat Bekar, Yusuf Yaylı · Advances in Applied Clifford Algebras · 24
Split Pell and Pell–Lucas Quaternions
2016 · Ümit Tokeşer, Zafer Ünal, et al. · Advances in Applied Clifford Algebras · 22
A New Representation of Canal Surfaces with Split Quaternions in Minkowski 3-Space
2016 · Erdem Kocakuşaklı, O. Oğulcan Tuncer, et al. · Advances in Applied Clifford Algebras · 20
Algebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanics
2015 · Tongsong Jiang, Ziwu Jiang, et al. · Journal of Mathematical Physics · 20
Split quaternions and semi-Euclidean projective spaces
2008 · Erhan Ata, Yusuf Yayli · Chaos Solitons & Fractals · 20
Works count: 287
Citation count: 1,822
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