2 papers
math.GR2018
The Spin Group in Superspace
Hennie De Schepper, Alí Guzmán Adán, Frank Sommen
There are two well-known ways of describing elements of the rotation group SO. First, according to the Cartan-Dieudonné theorem, every rotation matrix can be written as an eve…
math.AP2017
Hypermonogenic solutions and plane waves of the Dirac operator in Rp x Rq
Alí Guzmán Adán, Heikki Orelma, Franciscus Sommen
In this paper we first define hypermonogenic solutions of the Dirac operator in Rp x Rq and study some basic properties, e.g., obtaining a Cauchy integral formula in the unit hemis…