Statements (46)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
|
| gptkbp:class |
reductive, semisimple, solvable, unipotent, torus
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:example |
gptkb:general_linear_group
orthogonal group |
| gptkbp:fieldOfStudy |
gptkb:algebraic_geometry
group theory |
| gptkbp:hasApplication |
gptkb:algebraic_geometry
gptkb:topology gptkb:Galois_theory gptkb:Langlands_program number theory partial differential equations physics representation theory arithmetic geometry automorphic forms moduli spaces algebraic group classification algebraic group actions algebraic group cohomology algebraic group representations algebraic group schemes algebraic groups over finite fields algebraic transformation groups |
| gptkbp:hasProperty |
can be connected or disconnected
can be affine or projective can be defined over arbitrary fields group operations are morphisms of varieties |
| gptkbp:hasSubgroup |
gptkb:butter
reductive group solvable group unipotent group |
| gptkbp:heldBy |
group that is also an algebraic variety
|
| https://www.w3.org/2000/01/rdf-schema#label |
Linear algebraic group
|
| gptkbp:operator |
gptkb:identity
inverse group multiplication |
| gptkbp:relatedTo |
gptkb:algebraic_geometry
gptkb:Lie_group representation theory |
| gptkbp:studiedBy |
gptkb:André_Weil
gptkb:Claude_Chevalley gptkb:Armand_Borel |
| gptkbp:bfsParent |
gptkb:Algebraic_groups
|
| gptkbp:bfsLayer |
7
|