Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
gptkb:Lie_group abelian group |
| gptkbp:actsOn |
gptkb:toric_variety
|
| gptkbp:centralTo |
gptkb:torus_group_T^n
|
| gptkbp:commutative |
true
|
| gptkbp:compact |
true
|
| gptkbp:compactLieGroup |
true
|
| gptkbp:complexDimension |
n
|
| gptkbp:connects |
true
|
| gptkbp:dimensions |
n
|
| gptkbp:dualGroup |
Z^n
|
| gptkbp:fundamentalGroup |
Z^n
|
| gptkbp:hasCharacterGroup |
Z^n
|
| gptkbp:hasSubgroup |
finite abelian group
|
| gptkbp:homotopyType |
gptkb:n-dimensional_torus
|
| https://www.w3.org/2000/01/rdf-schema#label |
torus group T^n
|
| gptkbp:isomorphicTo |
gptkb:R^n_/_Z^n
(S^1)^n |
| gptkbp:manifold |
true
|
| gptkbp:maximalTorusOf |
compact connected Lie group
|
| gptkbp:realDimension |
n
|
| gptkbp:relatedGroup |
componentwise multiplication
|
| gptkbp:universalCover |
R^n
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology harmonic analysis representation theory symplectic geometry |
| gptkbp:bfsParent |
gptkb:Lie_group
|
| gptkbp:bfsLayer |
5
|