Exponential Factorization and Polar Decomposition of Multivectors in $Cl(p,q)$, $p+q \leq 3$

Authors: Eckhard Hitzer, Stephen J. Sangwine

In this paper we consider general multivector elements of Clifford algebras $Cl(p,q)$, $n=p+q \leq 3$, and study multivector equivalents of polar decompositions and factorization into products of exponentials, where the exponents are frequently blades of grades zero (scalar) to $n$ (pseudoscalar).

Comments: 18 Pages. Submitted to Adv. in Appl. Cliff. Algs., 2019.

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Submission history

[v1] 2019-11-16 02:53:50
[v2] 2019-11-17 23:52:46

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