Properties (55)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Artist
|
| gptkbp:associated_with |
Lie algebras
|
| gptkbp:can_be |
matrix groups
|
| gptkbp:defines |
a field
root data the theory of group representations |
| gptkbp:designatedAs |
Dynkin diagrams
their rank their Weyl groups their root systems |
| gptkbp:has_a |
subgroups
Chevalley basis |
| gptkbp:hasPrograms |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chevalley groups
|
| gptkbp:includes |
A, B, C, D, E, F, G
|
| gptkbp:is_a |
simple groups
algebraic varieties. connected algebraic groups linear_algebraic_groups linear_groups |
| gptkbp:is_designed_to |
root systems
Chevalley generators |
| gptkbp:is_essential_for |
theory of algebraic groups
the study of group actions the study of algebraic geometry over finite fields the_theory_of_algebraic_topology |
| gptkbp:is_recognized_for |
finite fields
local fields subgroups of GL(n) |
| gptkbp:is_studied_in |
algebraic geometry
automorphic forms representation categories homogeneous spaces cohomological methods moduli_spaces the_theory_of_algebraic_K-theory |
| gptkbp:is_used_in |
cryptography
geometry mathematical physics representation theory Galois representations group schemes the study of rational points other algebraic groups |
| gptkbp:isConnectedTo |
the theory of modular forms
the theory of algebraic varieties semisimple groups the_Langlands_program the_theory_of_algebraic_stacks |
| gptkbp:previousName |
gptkb:Claude_Chevalley
|
| gptkbp:related_to |
Galois cohomology
the theory of Lie groups symmetric spaces the theory of algebraic groups over local fields the_theory_of_algebraic_cycles |