Multivector Contractions Revisited, Part II

Abstract

The theory of contractions of multivectors, and star duality, was reorganized in a previous article, and here we present some applications. First, we study inner and outer spaces associated to a general multivector $M$ via the equations $v\wedge M=0$ and $v┘M=0$. They are then used to analyze special decompositions, factorizations and `carvings' of $M$, to define generalized grades, and to obtain new simplicity criteria, including a reduced set of Plücker-like relations. We also discuss how contractions are related to supersymmetry, and give formulas for supercommutators of multi-fermion creation and annihilation operators.

This is a follow-up article to arXiv:2205.07608

References in corpus (1)

• Multivector Contractions Revisited, Part I

Cited by in corpus (2)

• Multivector Contractions Revisited, Part I
• Hermitian Geometry of Complex Multivectors, Determinants and Orientations