Universal covering group of SL(2, R)
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centralTo |
trivial
|
| gptkbp:connectedTo |
true
|
| gptkbp:covers |
gptkb:SL(2,_R)
|
| gptkbp:dimensions |
3
|
| gptkbp:fundamental_group_of_SL(2,_R) |
infinite cyclic
|
| gptkbp:hasConnection |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
Universal covering group of SL(2, R)
|
| gptkbp:is_a_covering_group_of |
gptkb:SL(2,_R)
|
| gptkbp:is_a_real_form_of_universal_covering_group_of_SL(2,_C) |
true
|
| gptkbp:is_a_real_Lie_group |
true
|
| gptkbp:is_non-compact |
true
|
| gptkbp:is_not_algebraic |
true
|
| gptkbp:is_not_linear |
true
|
| gptkbp:is_topologically_simply_connected |
true
|
| gptkbp:isMatrixGroup |
false
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:Lie_algebra |
gptkb:sl(2,_R)
|
| gptkbp:universal_covering_map |
infinite-sheeted covering
|
| gptkbp:bfsParent |
gptkb:Special_Linear_Group_of_2x2_Real_Matrices
|
| gptkbp:bfsLayer |
8
|