In recent years quaternionic functions have been an intense and prosperous object of research, and important results were determined [1]-[6]. Some of these results are similar to well known cases in one complex variable, ...

In recent years quaternionic functions have been an intense and prosperous object of research, and important results were determined [1]-[6]. Some of these results are similar to well known cases in one complex variable, ...

In this paper we show that the quaternion orders OZ[ √ 2] ≃ ( √ 2, −1)Z[ √ 2] and OZ[ √ 3] ≃ (3 + 2√ 3, −1)Z[ √ 3], appearing in problems related to the coding theory [4], [3], are not maximal orders in the quaternion ...

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 ...

A heuristic diagram of the evolution of the standard genetic code is presented. It incorporates, in a way that resembles the energy levels of an atom, the physical notion of broken symmetry and it is consistent with original ...

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 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 ...

A quaternionic representation of the genetic code, previously reported by the authors (BioSystems 141(10?19), 2016), is updated in order to incorporate chirality of nucleotide bases and amino acids. Theoriginal representation ...