Inverse and Determinant in 0 to 5 Dimensional Clifford Algebra

2011/04/01 by Peruzan Dadbeh, Dadbeh, Peruzan · 2 citations
Mathematics · #Algebraic and Geometric Analysis #Finite Group Theory Research #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1104.0067

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.

Cited by

• Exponentials of general multivector (MV) in 3D Clifford algebras
• A key to the projective model of homogeneous metric spaces

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