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CliffordConjugate ​

Clifford conjugation xˉ\bar{x}: reversion after grade involution, costing sign (−1)k(k+1)/2(-1)^{k(k+1)/2} per grade kk.

CliffordConjugate(x)xˉ\bar{x}, the Clifford conjugate of xx
Typed signatures
TypePackageApplies
(number) -> numbergeometricalways

Domain: Geometric algebra

Examples

Basic #

Grades 1 and 2 flip sign; the scalar stays

live ↗
InCliffordConjugate(1+e1+e1e2)\mathrm{CliffordConjugate}(1+e_1+e_1e_2)Out−(e1e2)−e1+1-(e_1e_2)-e_1+1
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Examples1

See also: Reversion, GradeInvolution, Sandwich