Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
gptkb:GL(1,C)
|
| gptkbp:complexification |
gptkb:GL(1,R)
|
| gptkbp:component |
trivial group
|
| gptkbp:connects |
true
|
| gptkbp:contains |
all nonzero complex numbers
|
| gptkbp:defines |
group of invertible 1x1 matrices over complex numbers
|
| gptkbp:dimensions |
2
|
| gptkbp:field |
complex numbers
|
| gptkbp:hasSubgroup |
GL(n,C) for n ≥ 1
|
| gptkbp:homomorphismTo |
gptkb:C*
|
| https://www.w3.org/2000/01/rdf-schema#label |
GL(1,C)
|
| gptkbp:identityElement |
1
multiplicative inverse |
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:C*
|
| gptkbp:maximalCompactSubgroup |
gptkb:U(1)
|
| gptkbp:notation |
gptkb:GL_1(C)
|
| gptkbp:operator |
multiplication
|
| gptkbp:realForm |
gptkb:GL(1,R)
|
| gptkbp:bfsParent |
gptkb:U(1)
gptkb:circle_group_S^1 |
| gptkbp:bfsLayer |
6
|