Statements (20)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | gptkb:Lie_group | 
| gptkbp:belongs_to_type | gptkb:Lie_group | 
| gptkbp:complexification | gptkb:E_7(C) | 
| gptkbp:dimensions | 133 | 
| gptkbp:has_maximal_compact_subgroup | object: (SU(8)/Z_2) | 
| gptkbp:is_a_compact_real_form | false | 
| gptkbp:is_a_non-compact_real_form | true | 
| gptkbp:is_a_simple_Lie_group | true | 
| gptkbp:is_a_simply_connected_Lie_group | true | 
| gptkbp:is_a_split_real_form | false | 
| gptkbp:Lie_algebra | gptkb:e_{7(-133)} | 
| gptkbp:real_rank | 3 | 
| gptkbp:realForm | gptkb:E_7 | 
| gptkbp:relatedTo | gptkb:E_7_Lie_algebra | 
| gptkbp:used_in | theory of Lie groups theory of symmetric spaces theory of algebraic groups | 
| gptkbp:bfsParent | gptkb:E_7 | 
| gptkbp:bfsLayer | 8 | 
| https://www.w3.org/2000/01/rdf-schema#label | E {7(-133)} |