The paper provides an efficient method for obtaining powers and roots of dual complex 2 * 2
2× 2 matrices based on a far reaching generalization of De Moivre's formula. We also …

The paper provides a geometric perspective on the inclusion map sl _2 ≅\! so _3\! ⊂\! so _n
sl 2≅ so 3⊂ so n realized via the Plücker embedding. It relates higher-dimensional …

Relying on previously derived set of explicit solutions for the generalized Euler
decomposition with respect to three arbitrary axes here we obtain the corresponding …

The present paper may be regarded as a continuation of both [1] and [2]: we discuss the
same physical context as in the former, while applying a specific decomposition technique …

The paper provides a pedagogical study on vectorial parameterizations first proposed by O.
Rodrigues for the rotation group in R3 by means of the so-called Rodrigue's vector. Although …

We extend an old result due to Piña on three-dimensional rotations to the hyperbolic case
and utilize it to construct a specific factorization scheme for the isometries in R^ 2, 1 …

The paper provides a pedagogical study on vectorial parameterizations first proposed by O.
Rodrigues for the rotation group in R3 by means of the so-called Rodrigue's vector. Although …