On factorization of multivectors in Cl(2,1)$$ Cl\left(2,1\right) $$, by exponentials and idempotents

Abstract

In this paper, we consider general multivector elements of Clifford algebras Clfalse(2,1false)$$ Cl\left(2,1\right) $$ and look for possibilities to factorize multivectors into products of blades, idempotents, and exponentials, where the exponents are frequently blades of grades zero (scalar) to n$$ n $$ (pseudoscalar). We will succeed mostly, with a minor open case remaining.