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- Kostka_number abstract "In mathematics, the Kostka number Kλμ (depending on two integer partitions λ and μ) is a non-negative integer that is equal to the number of semistandard Young tableaux of shape λ and weight μ. They were introduced by the mathematician Carl Kostka in his study of symmetric functions (Kostka (1882)).For example, if λ = (3, 2) and μ = (1, 1, 2, 1), the Kostka number Kλμ counts the number of ways to fill a left-aligned collection of boxes with 3 in the first row and 2 in the second row with 1 copy of the number 1, 1 copy of the number 2, 2 copies of the number 3 and 1 copy of the number 4 such that the entries increase along columns and do not decrease along rows. The three such tableaux are shown at right, and K(3, 2) (1, 1, 2, 1) = 3.".
- Kostka_number thumbnail Semistandard_Young_tableaux_of_shape_(3,_2)_and_weight_(1,_1,_2,_1).png?width=300.
- Kostka_number wikiPageExternalLink ?IDDOC=259790.
- Kostka_number wikiPageExternalLink ?ci=9780198504504.
- Kostka_number wikiPageID "22606041".
- Kostka_number wikiPageRevisionID "558403820".
- Kostka_number authorlink "Bruce Sagan".
- Kostka_number first "Bruce E.".
- Kostka_number hasPhotoCollection Kostka_number.
- Kostka_number id "s/s120040".
- Kostka_number last "Sagan".
- Kostka_number title "Schur functions in algebraic combinatorics".
- Kostka_number subject Category:Numbers.
- Kostka_number subject Category:Symmetric_functions.
- Kostka_number type Abstraction100002137.
- Kostka_number type Amount105107765.
- Kostka_number type Attribute100024264.
- Kostka_number type Function113783816.
- Kostka_number type Magnitude105090441.
- Kostka_number type MathematicalRelation113783581.
- Kostka_number type Number105121418.
- Kostka_number type Numbers.
- Kostka_number type Property104916342.
- Kostka_number type Relation100031921.
- Kostka_number type SymmetricFunctions.
- Kostka_number comment "In mathematics, the Kostka number Kλμ (depending on two integer partitions λ and μ) is a non-negative integer that is equal to the number of semistandard Young tableaux of shape λ and weight μ.".
- Kostka_number label "Kostka number".
- Kostka_number label "Nombre de Kostka".
- Kostka_number sameAs Nombre_de_Kostka.
- Kostka_number sameAs m.05zmppq.
- Kostka_number sameAs Q6433560.
- Kostka_number sameAs Q6433560.
- Kostka_number sameAs Kostka_number.
- Kostka_number wasDerivedFrom Kostka_number?oldid=558403820.
- Kostka_number depiction Semistandard_Young_tableaux_of_shape_(3,_2)_and_weight_(1,_1,_2,_1).png.
- Kostka_number isPrimaryTopicOf Kostka_number.