Abstract. In this note, it is shown that the definition of quaternion expo-nentiation is simply the classical exponential map from the Lie algebra su(2) to the corresponding Lie group SU(2), up to a choice of an isomorphism. 1
Quaternions are a number system that has become increasingly useful for representing the rotations o...
In this work various maps between the space of twists and the space of finite screws are studied. Du...
In this work various maps between the space of twists and the space of finite screws are studied. Du...
Abstract. The exponential map is important because it provides a map from the Lie algebra of a Lie g...
The exponential map is important because it provides a map from the Lie algebra of a Lie group into ...
We focus on several properties of the Lie groups Sp(n) and SLn(H). We discuss their Lie algebras, th...
Copyright c © 2014 Faik Babadağ. This is an open access article distributed under the Creative Comm...
We use isomorphism ϕ between matrix algebras and simple orthogonal Clifford alge-bras C(Q) to comput...
Quaternions are a type of hypercomplex numbers. Unit quaternions, which describe rotations, were cal...
It is generally accepted nowadays that Hamilton’s greatest achievment is his general theory of dynam...
It is generally accepted nowadays that Hamilton’s greatest achievment is his general theory of dynam...
This survey-type paper deals with the symmetries related to quaternionic analysis. The main goal is ...
This survey-type paper deals with the symmetries related to quaternionic analysis. The main goal is ...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
Quaternions are a number system that has become increasingly useful for representing the rotations o...
In this work various maps between the space of twists and the space of finite screws are studied. Du...
In this work various maps between the space of twists and the space of finite screws are studied. Du...
Abstract. The exponential map is important because it provides a map from the Lie algebra of a Lie g...
The exponential map is important because it provides a map from the Lie algebra of a Lie group into ...
We focus on several properties of the Lie groups Sp(n) and SLn(H). We discuss their Lie algebras, th...
Copyright c © 2014 Faik Babadağ. This is an open access article distributed under the Creative Comm...
We use isomorphism ϕ between matrix algebras and simple orthogonal Clifford alge-bras C(Q) to comput...
Quaternions are a type of hypercomplex numbers. Unit quaternions, which describe rotations, were cal...
It is generally accepted nowadays that Hamilton’s greatest achievment is his general theory of dynam...
It is generally accepted nowadays that Hamilton’s greatest achievment is his general theory of dynam...
This survey-type paper deals with the symmetries related to quaternionic analysis. The main goal is ...
This survey-type paper deals with the symmetries related to quaternionic analysis. The main goal is ...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
In this thesis, we study Quaternionic Analysis, which is the most natural and close generalization o...
Quaternions are a number system that has become increasingly useful for representing the rotations o...
In this work various maps between the space of twists and the space of finite screws are studied. Du...
In this work various maps between the space of twists and the space of finite screws are studied. Du...