Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:algebra
combinatorics |
| gptkbp:firstPublished |
19th century
|
| gptkbp:generalizes |
gptkb:binomial_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy identity
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:relatedTo |
gptkb:Schur_functions
representation theory symmetric functions |
| gptkbp:sentence |
The sum over all partitions λ of s_λ(x) s_λ(y) equals the product over i,j of 1/(1 - x_i y_j).
|
| gptkbp:usedIn |
algebraic combinatorics
theory of symmetric polynomials |
| gptkbp:bfsParent |
gptkb:Schur_polynomial
|
| gptkbp:bfsLayer |
6
|