QSymF

The fundamental basis $F_\alpha$ of QSym, dual to the ribbon basis NSymR.

WikipediaQuasisymmetric function↗Quasisymmetric function↗WikidataQ7269535↗

QSymF(composition)$F_\alpha$ for the composition $\alpha$

Typed signatures

Type	Package	Applies
(list<integer>) -> number	hopf	always

Domain: Hopf algebras

Examples

Basic #

$3+2$

live ↗

In$\mathrm{HopfDegree}(\mathrm{QSymF}(\bigl\lbrack3, 2\bigr\rbrack))$Out$5$

live ↗

In$\mathrm{InMonomialBasis}(\mathrm{QSymF}(\bigl\lbrack1, 1\bigr\rbrack))$Out$\mathrm{QSymM}(\bigl\lbrack1, 1\bigr\rbrack)$

About

Examples	2
Crosswalk	Wikipedia ×2Wikidata

See also: QSymM, InFundamentalBasis, Coproduct