|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:application
|
gptkb:Algebraic_topology
gptkb:Langlands_program
gptkb:Automorphic_forms
gptkb:Quantum_groups
Galois representations
|
|
gptkbp:class
|
Simple algebraic groups classified by Dynkin diagrams
|
|
gptkbp:defines
|
Group that is also an algebraic variety such that the group operations are morphisms of varieties
|
|
gptkbp:example
|
gptkb:Special_linear_group
gptkb:Additive_group
gptkb:Multiplicative_group
Elliptic curve
General linear group
|
|
gptkbp:field
|
gptkb:Algebraic_geometry
gptkb:Group_theory
|
|
gptkbp:hasProperty
|
Defined over a field
Group operations are regular maps
|
|
gptkbp:hasSubfield
|
gptkb:Tori
gptkb:Weyl_groups
gptkb:Chevalley_groups
gptkb:Abelian_varieties
Root systems
Algebraic group actions
Algebraic group cohomology
Algebraic group representations
Algebraic group schemes
Algebraic monoids
Algebraic supergroups
Algebraic tori
Borel subgroups
Cartan subgroups
Commutative algebraic groups
Flag varieties
Group schemes
Group varieties
Homogeneous spaces
Linear algebraic groups
Non-commutative algebraic groups
Parabolic subgroups
Reductive groups
Semisimple groups
Simple algebraic groups
Unipotent groups
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Algebraic Groups
|
|
gptkbp:includes
|
gptkb:Tori
gptkb:Abelian_varieties
Linear algebraic groups
Reductive groups
Simple algebraic groups
Unipotent groups
|
|
gptkbp:notablePerson
|
gptkb:André_Weil
gptkb:Claude_Chevalley
gptkb:Jean-Pierre_Serre
gptkb:Robert_Steinberg
gptkb:Armand_Borel
|
|
gptkbp:relatedTo
|
gptkb:Number_theory
gptkb:Algebraic_geometry
gptkb:Lie_groups
gptkb:Representation_theory
|
|
gptkbp:studiedBy
|
Mathematicians
|
|
gptkbp:studiedIn
|
gptkb:Number_theory
gptkb:Algebraic_geometry
gptkb:Representation_theory
|
|
gptkbp:bfsParent
|
gptkb:Graduate_Studies_in_Mathematics
|
|
gptkbp:bfsLayer
|
7
|