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InCompleteBasis ​

Rewrite an element of NSym in the complete basis HαH_\alpha.

InCompleteBasis(x)xx rewritten in the HH basis
Typed signatures
TypePackageApplies
(number) -> numberhopfalways

Domain: Hopf algebras

Examples

Basic #

R12=H12−H3R_{12}=H_{12}-H_3

live ↗
InInCompleteBasis(NSymR([1,2]))\mathrm{InCompleteBasis}(\mathrm{NSymR}(\bigl\lbrack1, 2\bigr\rbrack))OutNSymH([1,2])−NSymH([3])\mathrm{NSymH}(\bigl\lbrack1, 2\bigr\rbrack)-\mathrm{NSymH}(\bigl\lbrack3\bigr\rbrack)
live ↗
InInCompleteBasis(NSymR([2,1]))\mathrm{InCompleteBasis}(\mathrm{NSymR}(\bigl\lbrack2, 1\bigr\rbrack))OutNSymH([2,1])−NSymH([3])\mathrm{NSymH}(\bigl\lbrack2, 1\bigr\rbrack)-\mathrm{NSymH}(\bigl\lbrack3\bigr\rbrack)
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See also: NSymH, InRibbonBasis