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 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 Pl\"ucker-like relations. We also discuss how contractions are related to supersymmetry, and give formulas for supercommutators of multi-fermion creation and annihilation operators.
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