The curl(u) operator, which confines vectors and vector fields to R^3, is an outer product of nabla with u [1, page 9] in geometric algebra. And as such it is defined for arbitrary number of dimensions, not just 2, 3 and 7.
[1] https://hal.sorbonne-universite.fr/hal-00920544v2/document
Matrices (and more) can also be described in GA, because they are linear operators.
The curl(u) operator, which confines vectors and vector fields to R^3, is an outer product of nabla with u [1, page 9] in geometric algebra. And as such it is defined for arbitrary number of dimensions, not just 2, 3 and 7.
[1] https://hal.sorbonne-universite.fr/hal-00920544v2/document
Matrices (and more) can also be described in GA, because they are linear operators.