Hall–Littlewood polynomials

GPTKB entity

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
https://www.w3.org/2000/01/rdf-schema#label	Hall–Littlewood 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:Schur_functions gptkb:Macdonald_polynomials
gptkbp:bfsLayer	7