Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:symmetry
|
| gptkbp:application |
enumerative combinatorics
representation theory of finite groups of Lie type algebraic geometry of Grassmannians |
| gptkbp:basisFor |
ring of symmetric functions
|
| gptkbp:field |
gptkb:algebraic_geometry
representation theory algebraic combinatorics |
| gptkbp:generalizes |
gptkb:Schur_polynomials
|
| gptkbp:hasSpecialCase |
gptkb:Macdonald_polynomials
|
| gptkbp:introducedIn |
1950s
|
| gptkbp:namedAfter |
gptkb:Philip_Hall
gptkb:Dudley_E._Littlewood |
| gptkbp:parameter |
t
|
| gptkbp:relatedTo |
gptkb:Schur_functions
gptkb:Young_tableaux gptkb:Macdonald_polynomials gptkb:Kostka–Foulkes_polynomials Hecke algebras root systems |
| gptkbp:specialty |
t=0 gives Schur polynomials
t=1 gives monomial symmetric functions |
| gptkbp:usedIn |
representation theory of symmetric groups
study of symmetric functions theory of Hall algebras |
| gptkbp:bfsParent |
gptkb:Macdonald_polynomials
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hall–Littlewood polynomials
|