Properties (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
symmetric function
|
| gptkbp:can_be |
a sum over Young diagrams
|
| gptkbp:defines |
the symmetric group
the theory of partitions and tableaux the theory of symmetric functions and partitions. |
| gptkbp:evaluates |
the Cauchy identity
the hook-length formula the theory of symmetric functions and partitions |
| gptkbp:has_a_role_in |
algebraic geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Schur functions
|
| gptkbp:is_a_character_in |
their variables
|
| gptkbp:is_a_symbol_of |
plethysm
|
| gptkbp:is_essential_for |
the theory of symmetric functions
the study of algebraic geometry and topology the study of algebraic structures in combinatorics the study of symmetric functions in algebra the_study_of_algebraic_structures |
| gptkbp:is_evaluated_by |
partitions
determinants of matrices power sum symmetric functions a generating function a sum of products of variables the theory of symmetric functions and Young tableaux the_Frobenius_formula |
| gptkbp:is_used_in |
representation theory
the study of algebraic topology the study of combinatorial identities combinatorial representation theory the theory of symmetric polynomials the study of algebraic structures in representation theory the study of algebraic structures in mathematics the study of symmetric groups quantum_mechanics the_study_of_algebraic_combinatorics the_study_of_algebraic_combinatorics_and_representation_theory |
| gptkbp:isConnectedTo |
the theory of partitions
the theory of symmetric functions the theory of symmetric polynomials the theory of symmetric functions in combinatorial representation theory the theory of symmetric functions in combinatorics the theory of symmetric functions in one variable |
| gptkbp:previousName |
gptkb:Issai_Schur
|
| gptkbp:related_to |
the theory of symmetric functions in algebraic geometry
the theory of symmetric polynomials in several variables the representation theory of GL(n) the theory of symmetric functions in several variables the theory of symmetric functions in representation theory Young_tableaux the_Littlewood-Richardson_coefficients the_Schur_process |
| gptkbp:standardFeatures |
monomial symmetric functions
|