Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:contained_in |
gptkb:algebraic_geometry
gptkb:Lie_group |
| gptkbp:defines |
a torus that is not properly contained in any larger torus in a given group
|
| gptkbp:dimensions |
equal to the rank of the group
|
| gptkbp:example |
the circle group in SU(2)
the subgroup of diagonal matrices in GL(n,C) |
| gptkbp:field |
gptkb:Lie_theory
gptkb:mathematics algebraic group theory |
| gptkbp:heldBy |
gptkb:butter
subfamily maximal abelian subgroup |
| https://www.w3.org/2000/01/rdf-schema#label |
maximal torus
|
| gptkbp:property |
all maximal tori in a connected compact Lie group are conjugate
|
| gptkbp:relatedConcept |
gptkb:Weyl_group
gptkb:Cartan_subgroup |
| gptkbp:used_in |
representation theory
classification of Lie groups |
| gptkbp:bfsParent |
gptkb:Weyl_group
gptkb:Lie_group gptkb:Lie_groups |
| gptkbp:bfsLayer |
5
|