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
|