Concepts of trace, determinant and inverse of Clifford algebra elements

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.

arXiv comment14 pages

References in corpus (2)

• Inverse and Determinant in 0 to 5 Dimensional Clifford Algebra
• Notions of determinant, spectrum, and Hermitian conjugation of Clifford algebra elements

Cited by in corpus (1)

• A key to the projective model of homogeneous metric spaces