Statements (59)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:military_base
|
| gptkbp:bfsLayer |
5
|
| gptkbp:bfsParent |
gptkb:Gelfand
|
| gptkbp:applies_to |
mathematical physics
Lie algebras theory of partitions theory of combinatorial games theory of group representations theory of algebraic topology |
| gptkbp:constructed_in |
gptkb:Gelfand–_Tsetlin_patterns
root systems combinatorial objects geometric objects linear algebra concepts |
| gptkbp:developed_by |
gptkb:M._A._Tsetlin
gptkb:I._M._Gelfand |
| https://www.w3.org/2000/01/rdf-schema#label |
Gelfand– Tsetlin basis
|
| gptkbp:is_a |
basis for polynomial spaces
basis in Hilbert space basis in functional analysis orthogonal basis |
| gptkbp:is_connected_to |
gptkb:musical_group
Cauchy identity Young tableaux representation categories representation theory of algebraic groups |
| gptkbp:is_essential_for |
theory of algebraic varieties
theory of symmetric functions theory of symmetric polynomials theory of Lie algebras theory of algebraic functions |
| gptkbp:is_part_of |
theory of algebraic groups
representation theory of Lie groups representation theory of symmetric groups theory of algebraic geometry theory of finite groups |
| gptkbp:is_related_to |
gptkb:Schur_functions
matrix theory tensor products character theory Weyl group |
| gptkbp:is_used_for |
solving equations
computing characters analyzing symmetries computing dimensions decomposing representations |
| gptkbp:is_used_in |
gptkb:physicist
gptkb:military_officer gptkb:political_movement theory of group actions theory of matrix representations |
| gptkbp:is_utilized_in |
algebraic combinatorics
theory of invariants representation theory of classical groups theory of algebraic structures |
| gptkbp:provides |
orthonormal basis
|
| gptkbp:related_to |
gptkb:Gelfand–_Tsetlin_pattern
|
| gptkbp:used_in |
representation theory
|
| gptkbp:utilizes |
combinatorial structures
|