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Celestial Mechanics and Dynamical Astronomy, 2001
In this paper, a semi-analytical solution of the Kustaanheimo-Stiefel equation for the perturbed Kepler problem was developed. The procedure which is used, here, is capable of building the solution in a semi-analytical form serving as an efficient ``quaternionic'' processor.
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In this paper, a semi-analytical solution of the Kustaanheimo-Stiefel equation for the perturbed Kepler problem was developed. The procedure which is used, here, is capable of building the solution in a semi-analytical form serving as an efficient ``quaternionic'' processor.
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On Pell Quaternions and Pell-Lucas Quaternions
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cimen, Cennet Bolat, Ipek, Ahmet
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The Mathematical Intelligencer, 1996
Some of the classical matrix groups are most conceptually defined as groups of quaternionic matrices. But, the quaternions not being commutative, it is not clear how to define the determinant of a quaternionic matrix. Over the years, many mathematicians have given different definitions. In this paper the author discuss some of these.
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Some of the classical matrix groups are most conceptually defined as groups of quaternionic matrices. But, the quaternions not being commutative, it is not clear how to define the determinant of a quaternionic matrix. Over the years, many mathematicians have given different definitions. In this paper the author discuss some of these.
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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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Fundaments of Quaternionic Clifford Analysis I: Quaternionic Structure
Advances in Applied Clifford Algebras, 2014This paper is suited for graduate students and researchers of mathematics and theoretical physics. The introduction outlines the strategy of developing quaternionic Clifford analysis as generalizations of holomorphic functions and Hermitian monogenic functions by successively introducing a complex structure and a quaternionic structure.
Brackx, F. +4 more
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Almost Quaternionic Structures on Quaternionic Kaehler Manifolds
Bulletin of the Malaysian Mathematical Sciences Society, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quaternionic line bundles over quaternionic projective spaces
2006The authors consider the problem of enumerating the quaternionic line bundles over quaternionic projective spaces, that is, enumerating the set of based homotopy classes of self-maps of such projective spaces. They solve the problem completely in dimensions 2 and 3, and go a long way in the general case, where the answer depends only on the parity of ...
Gonçalves, Daciberg L. +1 more
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