Add to ORKGThe Cayley map for the rotation group SO(3) is extended to a map from the Lie algebra of the group of rigid body motions SE(3) to the group itself. This is done in several inequivalent ways. A close connection between these maps and linear line complexes associated with a finite screw motions is found
It is proved that there is no an algorithm for multiplication of $3\times3$ matrices of multiplicati...
This paper gives a complete classification of conics in PE_2(R). The classification has been made ea...
AbstractWe calculate certain Samelson products of Sp(2). Using the result, we classify the homotopy ...
The Cayley map for the rotation group SO(3) is extended to a map from the Lie algebra of the group o...
In [5] Pfurner, Schröcker and Husty introduced a mapping from P^7 to the Study quadric. In [9], it ...
We treat rotation matrices of given axes and angles in the space R^3 = ImH of pure imaginary quatern...
In this work various maps between the space of twists and the space of finite screws are studied. Du...
AbstractWe give a necessary and sufficient group theoretic condition for a Cayley digraph to be prim...
It is observed that the kinematic equations of many vehicles take the same form. This form is that t...
We introduce length-preserving linear transformations of Euclidean topological spaces. We also intro...
AbstractWe consider the group G of complex matrices of order 2n of the form g=ABBA such that tgJg=J ...
AbstractWe present a proof of that SO3(Q) is not a simple group, using a quaternion cover for SO3(Q)...
AbstractWe present a theory of Cayley maps, i.e., embeddings of Cayley graphs into oriented surfaces...
In this work, the exponential and the Cayley maps, from the Lie algebra se(z) of the planar motion g...
AbstractLet A be n×n matrix of rank r. Then xn−r divides the characteristic polynomial det(xI−A) of ...
It is proved that there is no an algorithm for multiplication of $3\times3$ matrices of multiplicati...
This paper gives a complete classification of conics in PE_2(R). The classification has been made ea...
AbstractWe calculate certain Samelson products of Sp(2). Using the result, we classify the homotopy ...
The Cayley map for the rotation group SO(3) is extended to a map from the Lie algebra of the group o...
In [5] Pfurner, Schröcker and Husty introduced a mapping from P^7 to the Study quadric. In [9], it ...
We treat rotation matrices of given axes and angles in the space R^3 = ImH of pure imaginary quatern...
In this work various maps between the space of twists and the space of finite screws are studied. Du...
AbstractWe give a necessary and sufficient group theoretic condition for a Cayley digraph to be prim...
It is observed that the kinematic equations of many vehicles take the same form. This form is that t...
We introduce length-preserving linear transformations of Euclidean topological spaces. We also intro...
AbstractWe consider the group G of complex matrices of order 2n of the form g=ABBA such that tgJg=J ...
AbstractWe present a proof of that SO3(Q) is not a simple group, using a quaternion cover for SO3(Q)...
AbstractWe present a theory of Cayley maps, i.e., embeddings of Cayley graphs into oriented surfaces...
In this work, the exponential and the Cayley maps, from the Lie algebra se(z) of the planar motion g...
AbstractLet A be n×n matrix of rank r. Then xn−r divides the characteristic polynomial det(xI−A) of ...
It is proved that there is no an algorithm for multiplication of $3\times3$ matrices of multiplicati...
This paper gives a complete classification of conics in PE_2(R). The classification has been made ea...
AbstractWe calculate certain Samelson products of Sp(2). Using the result, we classify the homotopy ...