On factorization of multivectors in \(Cl(3,0)\), \(Cl(1,2)\) and \(Cl(0,3)\), by exponentials and idempotents. (English) Zbl 1510.15039
Summary: In this paper, we consider general multivector elements of Clifford algebras \(Cl(3,0)\), \(Cl(1,2)\) and \(Cl(0,3)\), and look for possibilities to factorize multivectors into products of blades, idempotents and exponentials, where the exponents are frequently blades of grades zero (scalar) to \(n\) (pseudoscalar).
MSC:
| 15A66 | Clifford algebras, spinors |
| 15A23 | Factorization of matrices |
| 15A16 | Matrix exponential and similar functions of matrices |
Software:
Clifford Multivector ToolboxReferences:
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