SplitAlgebra

The multi-perplex algebra $\mathbb{R}[j_1,\ldots,j_n]/(j_k^2-1)$ on $n$ commuting generators, each squaring to $+1$.

WikipediaSplit-complex number↗

SplitAlgebra(n)the split algebra on $n$ commuting generators squaring to $+1$

Typed signatures

Type	Package	Applies
(integer) -> clifford_algebra	hypercomplex	always

Domain: Hypercomplex algebra

Examples

Basic #

$2^2$

live ↗

In$\mathrm{AlgebraDimension}(\mathrm{SplitAlgebra}(2))$Out$4$

$\{1,j_1\}$

live ↗

In$\mathrm{Basis}(\mathrm{SplitAlgebra}(1))$Out$\bigl\lbrack1, j_1\bigr\rbrack$

About

Examples	2
Crosswalk	Wikipedia

See also: Basis, MulticomplexAlgebra, DualAlgebra