DualAlgebra

The multi-dual algebra $\mathbb{R}[\varepsilon_1,\ldots,\varepsilon_n]/(\varepsilon_k^2)$ on $n$ commuting nilpotent generators, each squaring to $0$.

WikipediaDual number↗

DualAlgebra(n)the dual algebra on $n$ commuting nilpotent generators

Typed signatures

Type	Package	Applies
(integer) -> clifford_algebra	hypercomplex	always

Domain: Hypercomplex algebra

Examples

Basic #

$2^2$

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

$\{1,\varepsilon_1\}$

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In$\mathrm{Basis}(\mathrm{DualAlgebra}(1))$Out$\bigl\lbrack1, \epsilon_1\bigr\rbrack$

About

Examples	2
Crosswalk	Wikipedia

See also: Basis, MulticomplexAlgebra, SplitAlgebra