Properties (57)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical basis
|
| gptkbp:appliesTo |
symmetric functions
|
| gptkbp:associatedWith |
Lie groups
|
| gptkbp:developedBy |
gptkb:I.M._Gelfand
gptkb:M._A._Tsetlin |
| https://www.w3.org/2000/01/rdf-schema#label |
Gelfand–Tsetlin basis
|
| gptkbp:isAvenueFor |
number theory
combinatorics theory of algebraic varieties theory of invariants theory of finite groups |
| gptkbp:isConnectedTo |
group theory
representation of symmetric groups representation theory of symmetric groups theory of group representations |
| gptkbp:isFoundIn |
the study of algebraic structures.
the study of algebraic topology theory of Lie algebras linear_algebra |
| gptkbp:isImportantFor |
mathematical physics
the study of algebraic equations the study of matrix representations quantum_field_theory |
| gptkbp:isInfluencedBy |
theoretical physics
theoretical computer science mathematical logic |
| gptkbp:isPartOf |
theory of symmetric functions
the theory of algebraic representations the_study_of_algebraic_structures the_study_of_algebraic_combinatorics |
| gptkbp:isRelatedTo |
gptkb:Schur_functions
matrix theory combinatorial identities symmetric polynomials matrix factorization Cauchy identity character theory representation of unitary groups |
| gptkbp:isUsedFor |
calculating dimensions
computing characters computing eigenvalues |
| gptkbp:isUsedIn |
functional analysis
theory of partitions the study of combinatorial structures theory of orthogonal polynomials quantum_mechanics |
| gptkbp:isUtilizedIn |
algebraic geometry
statistical mechanics theory of special functions theory of linear transformations |
| gptkbp:keyIssues |
decomposition of representations
decomposition of symmetric functions understanding of symmetric group representations representation_of_general_linear_groups |
| gptkbp:provides |
a basis for representations
|
| gptkbp:relatedTo |
Young_tableaux
|
| gptkbp:usedIn |
representation theory
|