AbstractDickson′s construction obtains the quaternions as pairs of complex numbers with a specific multiplication. We modify his construction to obtain four-dimensional division algebras from pairs of two-dimensional real division algebras and compare this class of algebras to other known classes
In this work we describe transformations of the 3-dimensional and the 4- dimensional Euclidean space...
This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive h...
There are a total of 64 possible multiplication rules that can be defined starting with the generali...
AbstractDickson′s construction obtains the quaternions as pairs of complex numbers with a specific m...
Dickson's construction obtains the quaternions as pairs of complex numbers with a specific multiplic...
AbstractA rotational scaled quaternion algebra is a ten-parameter four-dimensional real algebra whos...
Abstract. The study of real division algebras was initiated by the construction of the quaternion an...
Quaternions are a type of hypercomplex numbers. Unit quaternions, which describe rotations, were cal...
In this paper, a series of bicomplex representation methods of quaternion division algebra is introd...
Compact description is given of algebras of poly-numbers: quaternions, bi-quaternions, double (split...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
A new classification of two-dimensional real division algebras is given. We also obtain a new classi...
Abstract | \Cayley-Dickson doubling, " starting from the real num-bers, successively yields the...
Abstract. A new classification of two-dimensional real division algebras is given. We also obtain a ...
Quaternions are an extension of the complex number system and have a large presence in various appli...
In this work we describe transformations of the 3-dimensional and the 4- dimensional Euclidean space...
This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive h...
There are a total of 64 possible multiplication rules that can be defined starting with the generali...
AbstractDickson′s construction obtains the quaternions as pairs of complex numbers with a specific m...
Dickson's construction obtains the quaternions as pairs of complex numbers with a specific multiplic...
AbstractA rotational scaled quaternion algebra is a ten-parameter four-dimensional real algebra whos...
Abstract. The study of real division algebras was initiated by the construction of the quaternion an...
Quaternions are a type of hypercomplex numbers. Unit quaternions, which describe rotations, were cal...
In this paper, a series of bicomplex representation methods of quaternion division algebra is introd...
Compact description is given of algebras of poly-numbers: quaternions, bi-quaternions, double (split...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
A new classification of two-dimensional real division algebras is given. We also obtain a new classi...
Abstract | \Cayley-Dickson doubling, " starting from the real num-bers, successively yields the...
Abstract. A new classification of two-dimensional real division algebras is given. We also obtain a ...
Quaternions are an extension of the complex number system and have a large presence in various appli...
In this work we describe transformations of the 3-dimensional and the 4- dimensional Euclidean space...
This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive h...
There are a total of 64 possible multiplication rules that can be defined starting with the generali...
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