We have a backlog of abstracts to publish, this is the first. This result is equivalent to the fact that a large family of 8 x 4 matrices has torsion-free cokernel. We study a free resolution of this complex, we show the vanishing of some of its Ext-modules, and we obtain some new duality theorems which hint at a hyperfunction theory of several quaternionic variables.
Octonionic algebra being nonassociative is difficult to manipulate.
As an application we give an octonionic representation of the 4-dimensional Clifford algebra. The first four letters of your last name will be used as a key, along with the year and a sequential number.