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- Kostka_polynomial abstract "In mathematics, Kostka polynomials, named after the mathematician Carl Kostka, are families of polynomials that generalize the Kostka numbers. They are studied primarily in algebraic combinatorics and representation theory. The two-variable Kostka polynomials Kλμ(q, t) are known by several names including Kostka–Foulkes polynomials, Macdonald–Kostka polynomials or q,t-Kostka polynomials. Here the indices λ and μ are integer partitions and Kλμ(q, t) is polynomial in the variables q and t. Sometimes one considers single-variable versions of these polynomials that arise by setting q = 0, i.e., by considering the polynomial Kλμ(t) = Kλμ(0, t).There are two slightly different versions of them, one called transformed Kostka polynomials.[citation needed]The one variable specializations of the Kostka polynomials can be used to express Hall-Littlewood polynomials Pμ as a linear combination of Schur polynomials sλ: The Macdonald–Kostka polynomials can be used to express Macdonald polynomials (also denoted by Pμ) as a linear combination of Schur polynomials sλ: where Kostka numbers are special values of the 1 or 2 variable Kostka polynomials:".
- Kostka_polynomial wikiPageExternalLink qtTEXtables.html.
- Kostka_polynomial wikiPageExternalLink index.html.
- Kostka_polynomial wikiPageExternalLink kostka.
- Kostka_polynomial wikiPageExternalLink ?ci=9780198504504.
- Kostka_polynomial wikiPageID "22630866".
- Kostka_polynomial wikiPageRevisionID "549345883".
- Kostka_polynomial hasPhotoCollection Kostka_polynomial.
- Kostka_polynomial subject Category:Symmetric_functions.
- Kostka_polynomial type Abstraction100002137.
- Kostka_polynomial type Function113783816.
- Kostka_polynomial type MathematicalRelation113783581.
- Kostka_polynomial type Relation100031921.
- Kostka_polynomial type SymmetricFunctions.
- Kostka_polynomial comment "In mathematics, Kostka polynomials, named after the mathematician Carl Kostka, are families of polynomials that generalize the Kostka numbers. They are studied primarily in algebraic combinatorics and representation theory. The two-variable Kostka polynomials Kλμ(q, t) are known by several names including Kostka–Foulkes polynomials, Macdonald–Kostka polynomials or q,t-Kostka polynomials. Here the indices λ and μ are integer partitions and Kλμ(q, t) is polynomial in the variables q and t.".
- Kostka_polynomial label "Kostka polynomial".
- Kostka_polynomial sameAs m.05zvhfy.
- Kostka_polynomial sameAs Q6433561.
- Kostka_polynomial sameAs Q6433561.
- Kostka_polynomial sameAs Kostka_polynomial.
- Kostka_polynomial wasDerivedFrom Kostka_polynomial?oldid=549345883.
- Kostka_polynomial isPrimaryTopicOf Kostka_polynomial.