elementary symmetric functions
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appearedIn |
Vieta's formulas
coefficients of monic polynomials |
| gptkbp:basisFor |
ring of symmetric polynomials
|
| gptkbp:definedIn |
sum of all products of k distinct variables
|
| gptkbp:field |
gptkb:algebra
symmetric polynomials |
| https://www.w3.org/2000/01/rdf-schema#label |
elementary symmetric functions
|
| gptkbp:notation |
e_k
σ_k |
| gptkbp:number_of_variables |
n
|
| gptkbp:property |
algebraically independent
generate all symmetric polynomials |
| gptkbp:relatedTo |
gptkb:Newton's_identities
complete homogeneous symmetric functions power sum symmetric functions |
| gptkbp:used_in |
gptkb:Galois_theory
invariant theory combinatorics |
| gptkbp:bfsParent |
gptkb:Schur_functions
|
| gptkbp:bfsLayer |
7
|