MulticomplexAlgebra

The multicomplex algebra $\mathbb{C}_n = \mathbb{R}[i_1,\ldots,i_n]/(i_k^2+1)$ on $n$ commuting generators, each squaring to $-1$.

WikipediaMulticomplex number↗

MulticomplexAlgebra(n)$\mathbb{C}_n$, on $n$ commuting generators squaring to $-1$

Typed signatures

Type	Package	Applies
(integer) -> clifford_algebra	hypercomplex	always

Domain: Hypercomplex algebra

Examples

Basic #

$2^3$

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In$\mathrm{AlgebraDimension}(\mathrm{MulticomplexAlgebra}(3))$Out$8$

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In$\mathrm{Basis}(\mathrm{MulticomplexAlgebra}(2))$Out$\bigl\lbrack1, i_1, i_2, i_1i_2\bigr\rbrack$

About

Examples	2
Crosswalk	Wikipedia

See also: Basis, SplitAlgebra, DualAlgebra, Quaternions