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Inverse and Determinant in 0 to 5 Dimensional Clifford Algebra

By Peruzan Dadbeh

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.Comment: 22 pages, 19 table

Topics: Mathematical Physics, Mathematics - Algebraic Geometry
Year: 2012
OAI identifier: oai:arXiv.org:1104.0067
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