Geometric Matrices

Ponente(s): Garret Sobczyk Wyrzykowski

We construct 2^n x 2^n real and complex matrices in terms of Kronecker products of a Witt basis of 2n null vectors over the real or complex numbers. In this basis, every matrix is represented by a unique sum of products of null vectors. The real and complex matrices provide a direct matrix representation of Clifford geometric algebras of various signatures. Geometric algebras offer geometric insight and matrices offer computational tools useful in diverse applications in mathematics, physics and computer science and engineering.