Properties (64)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Architect
|
| gptkbp:associated_with |
Lie algebras
|
| gptkbp:can_be |
gptkb:Linear_algebraic_groups
Finite groups Lie groups Cohomology groups Cyclic groups Algebraic varieties Topological groups Tropical geometry Cohomological dimension Projective varieties Orthogonal groups Symplectic groups Simple groups Solvable groups Homogeneous coordinates Abelian varieties Affine algebraic groups Affine line Affine spaces Automorphism groups Connected groups Finite-dimensional groups Geometric structures Matrix groups Non-abelian groups Non-linear algebraic groups Projective groups Reductive groups Torus groups Unipotent groups Algebraic_cycles |
| gptkbp:defines |
Fields
|
| gptkbp:designatedAs |
Rank
Dimension |
| gptkbp:hasPrograms |
Number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Algebraic groups
|
| gptkbp:is_recognized_for |
Group actions
Group homomorphisms Polynomial equations Algebraic_relations Group_schemes |
| gptkbp:is_studied_in |
Galois theory
Representation theory Homotopy theory Moduli spaces Algebraically closed fields Moduli problems Symmetry groups Algebraic_topology |
| gptkbp:is_used_in |
gptkb:Quantum_groups
Cryptography Theoretical physics Mathematical physics Representation theory of groups Computer algebra Algebraic_geometry Algebraic_topology |
| gptkbp:isConnectedTo |
Homogeneous spaces
|
| gptkbp:related_to |
Group theory
Rational points Invariant theory Geometric representation theory |