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InFundamentalBasis ​

Rewrite an element of QSym in the fundamental basis QSymF.

InFundamentalBasis(x)xx rewritten in the FF basis
Typed signatures
TypePackageApplies
(number) -> numberhopfalways

Domain: Hopf algebras

Examples

Basic #

M12=F12−F111M_{12}=F_{12}-F_{111}

live ↗
InInFundamentalBasis(QSymM([1,2]))\mathrm{InFundamentalBasis}(\mathrm{QSymM}(\bigl\lbrack1, 2\bigr\rbrack))OutQSymF([1,2])−QSymF([1,1,1])\mathrm{QSymF}(\bigl\lbrack1, 2\bigr\rbrack)-\mathrm{QSymF}(\bigl\lbrack1, 1, 1\bigr\rbrack)
live ↗
InInFundamentalBasis(QSymM([2]))\mathrm{InFundamentalBasis}(\mathrm{QSymM}(\bigl\lbrack2\bigr\rbrack))OutQSymF([2])−QSymF([1,1])\mathrm{QSymF}(\bigl\lbrack2\bigr\rbrack)-\mathrm{QSymF}(\bigl\lbrack1, 1\bigr\rbrack)
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Examples2

See also: QSymF, InMonomialBasis