Gelfand– Tsetlin patterns
GPTKB entity
Statements (56)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:item
|
| gptkbp:analyzes |
triangular diagrams
|
| gptkbp:applies_to |
symmetric functions
|
| gptkbp:can_be_used_to |
study representations of the symmetric group
|
| gptkbp:constructed_in |
partitions
|
| gptkbp:describes |
a certain type of triangular array
|
| gptkbp:element |
the theory of symmetric functions
|
| gptkbp:has_applications_in |
mathematical physics
|
| gptkbp:has_connection_to |
gptkb:Mathematics
Young tableaux the theory of symmetric polynomials the theory of combinatorial representation theory |
| gptkbp:has_property |
non-negativity
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gelfand– Tsetlin patterns
|
| gptkbp:is_a |
combinatorial structure
|
| gptkbp:is_aform_of |
understanding representation theory
|
| gptkbp:is_akey_tool_for |
understanding symmetric functions
|
| gptkbp:is_akey_tool_in |
the analysis of symmetric functions
|
| gptkbp:is_analyzed_in |
random matrices
the properties of symmetric functions |
| gptkbp:is_applied_in |
gptkb:statistical_mechanics
the study of algebraic topology |
| gptkbp:is_associated_with |
Lie algebras
|
| gptkbp:is_atype_of |
pattern formation
combinatorial object array structure |
| gptkbp:is_characterized_by |
certain inequalities
|
| gptkbp:is_connected_to |
the theory of partitions
|
| gptkbp:is_explored_in |
the field of algebraic geometry
the field of mathematical physics combinatorial representation theory |
| gptkbp:is_involved_in |
the study of symmetric functions
|
| gptkbp:is_part_of |
the theory of symmetric functions
|
| gptkbp:is_related_to |
gptkb:Schur_functions
matrix theory the theory of algebraic groups the study of algebraic structures the theory of symmetric groups |
| gptkbp:is_studied_for |
the structure of Lie groups
|
| gptkbp:is_studied_in |
algebraic combinatorics
|
| gptkbp:is_used_in |
gptkb:Quantum_Mechanics
the study of algebraic structures the analysis of combinatorial structures the analysis of algebraic geometry |
| gptkbp:is_utilized_for |
solving combinatorial problems
|
| gptkbp:is_utilized_in |
the study of combinatorial identities
theory of symmetric polynomials |
| gptkbp:named_after |
gptkb:I._M._Gelfand
M. I. Tsetlin |
| gptkbp:related_to |
representation theory
|
| gptkbp:represents |
irreducible representations
|
| gptkbp:used_in |
combinatorics
|
| gptkbp:was_akey_figure_in |
the representation theory of groups
representation theory of the symmetric group |
| gptkbp:bfsParent |
gptkb:Gelfand–_Tsetlin_basis
|
| gptkbp:bfsLayer |
7
|