elementary symmetric polynomials
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:basisFor |
ring of symmetric polynomials
|
| gptkbp:definedIn |
n variables
|
| gptkbp:field |
gptkb:algebra
symmetric function theory |
| gptkbp:first_elementary_symmetric_polynomial |
sum of variables
|
| https://www.w3.org/2000/01/rdf-schema#label |
elementary symmetric polynomials
|
| gptkbp:notation |
e_k(x_1, ..., x_n)
|
| gptkbp:nth_elementary_symmetric_polynomial |
product of all variables
|
| gptkbp:property |
invariant under permutation of variables
|
| gptkbp:relatedTo |
symmetric polynomials
Vieta's formulas |
| gptkbp:second_elementary_symmetric_polynomial |
sum of products of pairs of variables
|
| gptkbp:usedIn |
representation theory
combinatorics theory of equations |
| gptkbp:bfsParent |
gptkb:Schur_polynomials
gptkb:Newton's_identities |
| gptkbp:bfsLayer |
8
|