Statements (61)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Mathematics
|
| gptkbp:are_indexed_by |
partitions of integers
|
| gptkbp:are_special_cases_of |
Jack polynomials
|
| gptkbp:associated_with |
partitions
|
| gptkbp:can_be_computed_using |
plethysm
|
| gptkbp:can_be_expressed_in_terms_of |
symmetric group characters
|
| gptkbp:can_be_used_to |
compute dimensions of representations
|
| gptkbp:exhibits |
plethystic behavior
|
| gptkbp:form_basis_of |
space of symmetric functions
|
| gptkbp:has_applications_in |
theory of symmetric polynomials
|
| gptkbp:has_role |
geometry of Schubert varieties
|
| https://www.w3.org/2000/01/rdf-schema#label |
Schur functions
|
| gptkbp:is_connected_to |
Hilbert series
cohomology of Grassmannians representation of Lie algebras |
| gptkbp:is_defined_by |
Young tableaux
|
| gptkbp:is_expressed_in |
determinants
|
| gptkbp:is_involved_in |
theory of symmetric groups
|
| gptkbp:is_related_to |
K-theory
invariant theory theory of symmetric polynomials Macdonald polynomials |
| gptkbp:is_represented_in |
determinants of matrices
power sum symmetric functions linear combinations of monomial symmetric functions |
| gptkbp:is_standardized_by |
monomial symmetric functions
elementary symmetric functions |
| gptkbp:is_used_in |
gptkb:topology
algebraic geometry mathematical physics theory of algebraic groups theory of partitions quantum groups theory of algebraic varieties theory of symmetric functions combinatorial representation theory theory of algebraic geometry theory of combinatorial structures theory of algebraic functions theory of algebraic structures theory of algebraic topology theory of algebraic representations theory of algebraic combinatorics theory of algebraic equations theory of algebraic identities theory of algebraic invariants theory of algebraic mappings theory of algebraic properties theory of algebraic relations theory of algebraic transformations theory of combinatorial identities theory of generating functions theory of symmetric functions in one variable theory of symmetric functions in several variables |
| gptkbp:named_after |
Issai Schur
|
| gptkbp:related_to |
symmetric functions
|
| gptkbp:satisfy |
Cauchy identity
|
| gptkbp:used_in |
representation theory
combinatorics |
| gptkbp:bfsParent |
gptkb:Gelfand–_Tsetlin_basis
|
| gptkbp:bfsLayer |
7
|