In this paper we propose a framework to construct algebraic lattices in dimensions 4n via ideals from maximal orders of a quaternion algebra whose center is a totally real number field. For n=1,2,3,4 and 6 it was possible ...

We complete all local spinor norm computations for quater-nionic skew-hermitian forms over the field Qof rational num-bers. This can be used to compute the number of classes in a genus of skew-hermitian lattices of rank ...

The angular velocity of a rigid body is usually described in classical mechanics courses by using Euler angles. However, in order to avoid singularity problems on the numerical integration of the motion equations, another ...

We classify the quadratic extensions K = Q[root d] and the finite groups G for which the group ring o(K)[G] of G over the ring o(K) of integers of K has the property that the group U(1)(o(K)[G]) of units of augmentation 1 ...

In this paper we deal with the notion of regulated functions with values in a Banach algebra A, we prove some results and present examples using quaternions. The physical meanning of this kind of functions is introduced ...

In this paper we deal with the notion of regulated functions with values in a Banach algebra A, we prove some results and present examples using quaternions. The physical meanning of this kind of functions is introduced ...

We characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process. It is shown that ...

We characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process. It is shown that ...