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gptkbp:instanceOf
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symmetric polynomial
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gptkbp:application
|
gptkb:algebraic_geometry
combinatorics
representation theory of symmetric groups
representation theory of general linear groups
|
|
gptkbp:basisFor
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space of symmetric polynomials
|
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gptkbp:definedIn
|
ring of symmetric functions
|
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gptkbp:expansionIn
|
gptkb:elementary_symmetric_polynomials
gptkb:monomial_symmetric_polynomials
complete homogeneous symmetric polynomials
|
|
gptkbp:field
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gptkb:algebraic_geometry
representation theory
algebraic combinatorics
symmetric function theory
|
|
gptkbp:generalizes
|
gptkb:elementary_symmetric_polynomials
complete homogeneous symmetric polynomials
|
|
gptkbp:hasSpecialCase
|
gptkb:Schur_functions
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Schur polynomials
|
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gptkbp:namedAfter
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gptkb:Issai_Schur
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gptkbp:orthonormalWithRespectTo
|
Hall inner product
|
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gptkbp:parameter
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partitions
|
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gptkbp:relatedTo
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gptkb:general_linear_group
gptkb:group_of_people
gptkb:Schur_functions
gptkb:Cauchy–Binet_formula
gptkb:Young_tableaux
gptkb:Schur–Weyl_duality
gptkb:Macdonald_polynomials
gptkb:Kostka_numbers
gptkb:Young_diagrams
gptkb:Young_symmetrizers
gptkb:Hall–Littlewood_polynomials
gptkb:Jack_polynomials
representation theory
algebraic combinatorics
symmetric functions
determinants
characters of symmetric groups
characters of general linear groups
tableaux combinatorics
|
|
gptkbp:satisfies
|
gptkb:Jacobi–Trudi_identity
determinantal formula
|
|
gptkbp:usedIn
|
gptkb:Schubert_calculus
gptkb:Littlewood–Richardson_rule
gptkb:Cauchy_identity
gptkb:Pieri's_rule
branching rules
theory of symmetric functions
|
|
gptkbp:bfsParent
|
gptkb:Schur_functions
gptkb:Giambelli_formula
gptkb:Schubert_polynomials
gptkb:Jacobi–Trudi_identity
gptkb:Macdonald_polynomials
|
|
gptkbp:bfsLayer
|
7
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