Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
gptkb:mathematical_concept |
| gptkbp:application |
representation theory
theory of symmetric functions combinatorics of Young tableaux |
| gptkbp:citation |
I. G. Macdonald, Symmetric Functions and Hall Polynomials
|
| gptkbp:defines |
polynomials K_{λμ}(q) indexed by partitions λ, μ
|
| gptkbp:field |
algebraic combinatorics
|
| gptkbp:generalizes |
gptkb:Kostka_numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kostka–Foulkes polynomials
|
| gptkbp:introducedIn |
1950s
|
| gptkbp:namedAfter |
Carl Kostka
Paul Foulkes |
| gptkbp:parameter |
partitions
|
| gptkbp:property |
K_{λλ}(q) = 1
K_{λμ}(1) = Kostka number K_{λμ} K_{λμ}(q) = 0 unless λ ≥ μ in dominance order |
| gptkbp:relatedTo |
gptkb:Schur_functions
gptkb:Kostka_numbers gptkb:Hall–Littlewood_polynomials symmetric functions |
| gptkbp:variant |
q
|
| gptkbp:bfsParent |
gptkb:Young_Tableaux
|
| gptkbp:bfsLayer |
7
|