Linear Algebraic Groups

GPTKB entity

Properties (46)
Predicate Object
gptkbp:instanceOf gptkb:Artist
gptkbp:are groups defined by polynomial equations
important in algebraic geometry
used in the study of algebraic topology
used in the study of the theory of algebraic curves
a type of algebraic variety
connected to number theory
connected to the theory of Lie groups
often studied in the context of algebraic geometry
often studied over algebraically closed fields
related to geometry
used in representation theory
used in the classification of algebraic varieties
used in the study of symmetry
used in the study of the theory of modular forms
used in the theory of automorphic forms
used in the study of algebraic geometry over local fields
used_in_the_study_of_the_theory_of_algebraic_stacks
important_in_the_Langlands_program
related_to_the_theory_of_algebraic_stacks
used_in_the_study_of_algebraic_cycles
used_in_the_study_of_algebraic_groups_over_global_fields
used_in_the_study_of_algebraic_groups_over_finite_fields
gptkbp:can_be finite or infinite
used in the study of differential equations
used in the study of representation categories
used in the study of the theory of algebraic varieties
used in the study of the theory of algebraic surfaces
defined over arbitrary fields
linearized
used in the study of the theory of algebraic groups over fields.
reductive or unipotent
represented as matrices
used in coding theory
used in the study of Galois representations
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 symmetric spaces
used in the study of the theory of motives
used_in_the_study_of_algebraic_K-theory
gptkbp:has homomorphisms
Lie algebra associated with them
a structure of a group
https://www.w3.org/2000/01/rdf-schema#label Linear Algebraic Groups
gptkbp:includes subgroups