  We reorganize and expand the theory of contractions or interior products of
multivectors, and related topics like Hodge duality. Results are generalized
and new ones are presented, like a higher-order graded Leibniz rule, a
geometric characterization of blade contractions, a regressive product formula,
a study of spaces determined by multivectors, special decompositions,
factorizations and carvings of multivectors, generalized grades, new simplicity
criteria, supercommutators of creation and annihilation operators, etc.
Different conventions found in the literature are discussed, in special those
of Clifford geometric algebra.

General Mathematics