Inverse and Determinant in 0 to 5 Dimensional Clifford Algebra
Mathematical Physics
2012-08-17 v2 Algebraic Geometry
math.MP
Abstract
This paper presents equations for the inverse of a Clifford number in Clifford algebras of up to five dimensions. In presenting these, there are also presented formulas for the determinant and adjugate of a general Clifford number of up to five dimensions, matching the determinant and adjugate of the matrix representations of the algebra. These equations are independent of the metric used.
Cite
@article{arxiv.1104.0067,
title = {Inverse and Determinant in 0 to 5 Dimensional Clifford Algebra},
author = {Peruzan Dadbeh},
journal= {arXiv preprint arXiv:1104.0067},
year = {2012}
}
Comments
22 pages, 19 tables