Inverse and Determinant in 0 to 5 Dimensional Clifford Algebra
Peruzan Dadbeh
Abstract
Open-access reader
Peruzan Dadbeh
Abstract
Open-access reader
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.
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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.
Key concepts: Clifford algebra, Inverse, Algebra over a field, Mathematics, Pure mathematics, Geometry