Concepts of trace, determinant and inverse of Clifford algebra elements
Mathematical Physics
2016-08-29 v1 math.MP
Abstract
In our paper we consider the notion of determinant of Clifford algebra elements. We present some new formulas for determinant of Clifford algebra elements for the cases of dimension 4 and 5. Also we consider the notion of trace of Clifford algebra elements. We use the generalization of the Pauli's theorem for 2 sets of elements that satisfy the main anticommutation conditions of Clifford algebra.
Cite
@article{arxiv.1108.5447,
title = {Concepts of trace, determinant and inverse of Clifford algebra elements},
author = {Dmitry Shirokov},
journal= {arXiv preprint arXiv:1108.5447},
year = {2016}
}
Comments
14 pages