InOrbitBasis

Rewrite a partition-algebra element in the orbit basis $x_\lambda$, which asks for exactly those points to be connected and nothing else.

InOrbitBasis(x)the element rewritten in the orbit basis

Typed signatures

Type	Package	Applies
(number) -> number	diagram	always

Domain: Diagram algebras

Examples

Basic #

Sums over coarsenings

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In$\mathrm{InOrbitBasis}(\mathrm{Diagram}(\bigl\lbrack\bigl\lbrack1\bigr\rbrack, \bigl\lbrack-1\bigr\rbrack\bigr\rbrack))$Out$\mathrm{OrbitDiagram}(\bigl\lbrack\bigl\lbrack1, -1\bigr\rbrack\bigr\rbrack)+\mathrm{OrbitDiagram}(\bigl\lbrack\bigl\lbrack1\bigr\rbrack, \bigl\lbrack-1\bigr\rbrack\bigr\rbrack)$

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See also: Diagram, OrbitDiagram, InDiagramBasis