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gptkbp:instanceOf
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gptkb:symmetry
|
|
gptkbp:appearsIn
|
gptkb:Schur–Weyl_duality
theory of symmetric polynomials
|
|
gptkbp:areSpecialCaseOf
|
symmetric functions
|
|
gptkbp:basisFor
|
ring of symmetric functions
|
|
gptkbp:describedBy
|
gptkb:Schubert_calculus
cohomology of Grassmannians
irreducible polynomial representations of GL(n)
|
|
gptkbp:expandAs
|
gptkb:elementary_symmetric_functions
gptkb:monomial_symmetric_functions
complete homogeneous symmetric functions
|
|
gptkbp:generalizes
|
gptkb:Macdonald_polynomials
gptkb:Hall–Littlewood_polynomials
gptkb:Jack_polynomials
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Schur functions
|
|
gptkbp:namedAfter
|
gptkb:Issai_Schur
|
|
gptkbp:orthonormalWithRespectTo
|
Hall inner product
|
|
gptkbp:parameter
|
partitions
|
|
gptkbp:relatedTo
|
gptkb:Schur_polynomials
gptkb:Littlewood–Richardson_rule
gptkb:Young_tableaux
gptkb:Cauchy_identity
determinant
GL(n) representations
characters of symmetric group
|
|
gptkbp:satisfies
|
gptkb:Jacobi–Trudi_identity
gptkb:Binet–Cauchy_formula
gptkb:Pieri's_rule
gptkb:dual_Jacobi–Trudi_identity
|
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
representation theory
algebraic combinatorics
|
|
gptkbp:bfsParent
|
gptkb:Littlewood–Richardson_rule
gptkb:Young_tableau
|
|
gptkbp:bfsLayer
|
6
|