Properties (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Artist
|
| gptkbp:associated_with |
Lie algebras
homogeneous spaces linear_representations |
| gptkbp:can_be |
simple
connected components finite groups finite-dimensional abelian non-abelian projective varieties affine projective matrix groups split connected disconnected affine varieties linearized maximal non-reductive reductive reductive groups semisimple unipotent linear_algebraic_groups_over_fields. |
| gptkbp:defines |
a field
|
| gptkbp:designatedAs |
their rank
their representations |
| gptkbp:has_a |
a variety
|
| gptkbp:hasPrograms |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Linear algebraic groups
|
| gptkbp:is_essential_for |
algebraic geometry
|
| gptkbp:is_recognized_for |
finite fields
polynomial equations |
| gptkbp:is_studied_in |
group theory
theory of algebraic varieties the context of algebraic topology the context of schemes |
| gptkbp:is_used_in |
cryptography
mathematical physics representation theory the study of symmetry the_Langlands_program |
| gptkbp:isConnectedTo |
geometry
automorphic forms representation of algebras |
| gptkbp:related_to |
Lie groups
Galois theory cohomology modular forms the theory of motives |