Statements (57)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Data_Visualization
|
| gptkbp:are |
connected graphs
graphical representations used in combinatorial representation theory used in the study of representation categories a fundamental concept in algebraic geometry a key concept in modern algebra a key element in the study of algebraic topology a part of the mathematical framework for physics a part of the study of algebraic structures a significant topic in modern algebra a subject of interest in mathematical physics a subject of research in mathematics a tool for understanding symmetry a tool for visualizing algebraic relationships a visual representation of algebraic concepts a visual tool for mathematicians important for understanding Lie groups important in theoretical physics used in classification of simple Lie groups used in the classification of finite groups used to study algebraic varieties |
| gptkbp:associated_with |
Cartan matrices
|
| gptkbp:can |
the rank of a Lie algebra
|
| gptkbp:can_be |
finite or affine
|
| gptkbp:can_be_drawn_in |
two dimensions
|
| gptkbp:can_be_extended_by |
adding nodes
|
| gptkbp:can_be_found_in |
mathematical literature
|
| gptkbp:can_be_used_in |
gptkb:quantum_field_theory
|
| gptkbp:can_be_used_to |
study algebraic topology
analyze geometric structures understand the structure of algebraic groups |
| gptkbp:consists_of |
nodes and edges
|
| gptkbp:has_role |
representation theory
|
| gptkbp:has_type |
A, B, C, D, E, F, G
|
| gptkbp:help_visualize |
symmetries in physics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dynkin diagrams
|
| gptkbp:illustrated_by |
specific examples
|
| gptkbp:is_analyzed_in |
combinatorial methods
|
| gptkbp:is_applied_in |
various branches of mathematics
|
| gptkbp:is_associated_with |
root systems of Lie algebras
the theory of algebraic forms |
| gptkbp:is_explored_in |
advanced mathematics courses
graph theory |
| gptkbp:is_represented_in |
graphs with specific properties
|
| gptkbp:is_studied_in |
the context of mathematical research.
|
| gptkbp:is_utilized_for |
the study of symmetry in mathematics
the classification of algebraic structures |
| gptkbp:named_after |
gptkb:Eugene_Dynkin
|
| gptkbp:represents |
root systems
simple Lie algebras |
| gptkbp:scientific_classification |
semisimple Lie algebras
their types and ranks |
| gptkbp:used_in |
theory of algebraic groups
Lie algebra theory |
| gptkbp:bfsParent |
gptkb:Chevalley_groups
|
| gptkbp:bfsLayer |
7
|