Torus (algebraic group)

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:algebraic_geometry
group scheme
gptkbp:appearsIn structure theory of algebraic groups
gptkbp:characterGroup finitely generated free abelian group
gptkbp:definedIn gptkb:Field
gptkbp:dimensions equal to rank
gptkbp:example gptkb:multiplicative_group
product of multiplicative groups
gptkbp:heldBy commutative
connected
reductive
diagonalizable
https://www.w3.org/2000/01/rdf-schema#label Torus (algebraic group)
gptkbp:overAlgebraicallyClosedField isomorphic to product of multiplicative groups
gptkbp:relatedTo gptkb:root
gptkb:maximal_torus
gptkbp:splitTorusIsomorphicTo product of copies of multiplicative group
gptkbp:studiedIn gptkb:algebraic_geometry
number theory
representation theory
gptkbp:bfsParent gptkb:Linear_Algebraic_Groups
gptkbp:bfsLayer 7