SemistandardTableau
A name from the enumeratio catalogue with no kernel of its own yet; this page carries its crosswalk only.
The singular-inhabitant constructor for a semistandard Young tableau, as its rows.
Wikipedia
Young tableauMathWorldYoungTableauWikidataQ2166280nLabYoung diagramSageMathSemistandardTableaux(n)via SemistandardTableauxmathlib4SemistandardYoungTableauvia SemistandardTableauxSemistandardTableau(list)The singular-inhabitant constructor for a semistandard Young tableau, as its rows.Typed signatures
| Type | Package | Applies |
|---|---|---|
(tuple<list<integer>, list<integer>>) -> semistandard_tableau | combinatorics | always |
Maps
Into and out of SemistandardTableau, called as CombinatorialMap(x, "Name"). Properties are the laws we state and what FindStat records.
9 more in FindStat, not implemented here
- Mp00001AlternatingSignMatrix → SemistandardTableauInjectionGraded mapto semistandard tableau via monotone triangles
- Mp00036GelfandTsetlinPattern → SemistandardTableauSurjectionto semistandard tableau
- Mp00075SemistandardTableau → PermutationGraded mapreading word permutation
- Mp00076SemistandardTableau → GelfandTsetlinPatternInjectionGraded mapto Gelfand-Tsetlin pattern
- Mp00077SemistandardTableau → IntegerPartitionSurjectionGraded mapshape
- Mp00107SemistandardTableau → SemistandardTableauGraded mapcatabolism
- Mp00214SemistandardTableau → Posetssubcrystal
- Mp00225SemistandardTableau → IntegerPartitionSurjectionweight
- Mp00302ParkingFunction → SemistandardTableauGraded mapinsertion tableau