Properties (57)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Architect
|
| gptkbp:are |
Used in number theory
Used in the study of algebraic geometry over finite fields Connected to Lie Groups Defined over fields Related to algebraic stacks Used in algebraic topology Used in coding theory Used in cryptography Used in representation theory Used in the study of G-bundles Used in the study of algebraic functions Used in the study of algebraic geometry of groups Used in the study of algebraic surfaces Used in the study of rationality questions Used in the study of representation varieties Used in the study of symmetric varieties Used in the study of algebraic geometry over characteristic 0 Used_in_the_study_of_algebraic_groups_over_local_fields Connected_to_the_Langlands_program Groups_defined_by_polynomial_equations Used_in_the_study_of_algebraic_group_representations Studied_in_the_context_of_Galois_theory Used_in_the_study_of_algebraic_actions Used_in_the_study_of_algebraic_group_schemes. Used_in_the_theory_of_Shimura_varieties Used_in_the_theory_of_algebraic_cycles |
| gptkbp:can_be |
Finite or infinite
Used in the study of algebraic geometry over characteristic p Classified by their rank Defined over algebraically closed fields Represented by matrices Used in the study of algebraic curves Used in the study of algebraic topology of groups Used in the study of algebraic varieties Used in the study of deformation theory Used in the study of group schemes Used in the study of homogeneous spaces Used in the study of invariant theory Used in the study of moduli spaces Used in the study of rational points Used in the study of torsors Used in the theory of motives Used to define automorphic forms Used_in_the_study_of_algebraic_K-theory Used_in_the_study_of_algebraic_group_actions Used_in_the_study_of_algebraic_group_cohomology Used_in_the_study_of_algebraic_groups_over_global_fields |
| gptkbp:has |
Homomorphisms
A notion of a subgroup A notion of dimension A structure of a variety |
| https://www.w3.org/2000/01/rdf-schema#label |
Algebraic Groups
|
| gptkbp:includes |
gptkb:Linear_Algebraic_Groups
gptkb:Abelian_Varieties |
| gptkbp:research |
Group Theory
Algebraic_Geometry |