Statements (54)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:architecture
|
| gptkbp:example |
SO(3)
SU(2) GL(n, R) SL(2, R) U(1) |
| gptkbp:has_applications_in |
gptkb:Quantum_Mechanics
Control Theory |
| gptkbp:has_field |
Lie Algebras
Topological Groups |
| gptkbp:has_historical_significance |
19th Century Mathematics
|
| gptkbp:has_property |
Smooth Manifold
Continuous Symmetry |
| gptkbp:has_relationship_with |
Symmetry Groups
Transformation Groups |
| https://www.w3.org/2000/01/rdf-schema#label |
Lie Groups
|
| gptkbp:is_characterized_by |
Group Operations
Lie Group Actions Lie Group Homomorphisms Lie Group Representations |
| gptkbp:is_connected_to |
gptkb:Mathematics
Cohomology Differential Forms Fiber Bundles Homotopy Theory |
| gptkbp:is_part_of |
gptkb:Physics
Geometry Abstract Algebra Mathematical Physics Mathematical Analysis |
| gptkbp:is_related_to |
Algebra
Topology Differential Equations |
| gptkbp:is_studied_in |
gptkb:Mathematics
gptkb:Physics |
| gptkbp:is_used_in |
gptkb:string_theory
gptkb:General_Relativity Mathematical Physics Particle Physics Gauge Theory |
| gptkbp:key_concept |
Symmetry
Representation Theory Homogeneous Spaces Topology of Groups Lie Group Actions |
| gptkbp:length |
Finite or Infinite
|
| gptkbp:named_after |
gptkb:Sophus_Lie
|
| gptkbp:related_to |
Differential Geometry
Algebraic Groups |
| gptkbp:scientific_classification |
Dimension and Compactness
|
| gptkbp:used_in |
gptkb:Physics
Representation Theory |
| gptkbp:bfsParent |
gptkb:Shlomo_Sternberg
|
| gptkbp:bfsLayer |
4
|