English

Quaternion typification of Clifford algebra elements

Mathematical Physics 2017-08-22 v3 math.MP

Abstract

We present a new classification of Clifford algebra elements. Our classification is based on the notion of quaternion type. Using this classification we develop a method for analyzing of commutators and anticommutators of Clifford algebra elements. This method allows us to find out and prove a number of new properties of Clifford algebra elements.

Keywords

Cite

@article{arxiv.0806.4299,
  title  = {Quaternion typification of Clifford algebra elements},
  author = {Dmitry Shirokov},
  journal= {arXiv preprint arXiv:0806.4299},
  year   = {2017}
}

Comments

14 pages

R2 v1 2026-06-21T10:54:37.749Z