NSymAlgebra

The degree-$n$ graded piece of NSym — one basis element per composition of $n$, $2^{n-1}$ of them for $n \geq 1$.

NSymAlgebra(n)the degree-$n$ piece of NSym

Typed signatures

Type	Package	Applies
(integer) -> graded_hopf_algebra	hopf	always

Domain: Hopf algebras

Examples

Basic #

$2^{4-1}$ compositions

live ↗

In$\mathrm{AlgebraDimension}(\mathrm{NSymAlgebra}(4))$Out$8$

$H_{13}$ has degree $4$

live ↗

In$\mathrm{NSymH}(\bigl\lbrack1, 3\bigr\rbrack)∈\mathrm{NSymAlgebra}(4)$Out$\mathrm{True}$

About

Examples	2

See also: NSymH, QSymAlgebra