Special Linear Group of 2x2 complex matrices
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
{±I}
|
| gptkbp:compact |
true
|
| gptkbp:definedIn |
set of 2x2 complex matrices with determinant 1
|
| gptkbp:dimensions |
3 complex dimensions
|
| gptkbp:field |
complex numbers
|
| gptkbp:hasConnection |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
Special Linear Group of 2x2 complex matrices
|
| gptkbp:identityElement |
2x2 identity matrix
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isLieAlgebra |
gptkb:sl(2,_C)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isReductive |
true
|
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:name |
gptkb:SL(2,_C)
|
| gptkbp:notation |
gptkb:SL(2,_C)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:order |
infinite
|
| gptkbp:universalCover |
projective special linear group PSL(2, C)
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:theoretical_physics number theory representation theory |
| gptkbp:bfsParent |
gptkb:SL(2,_C)
|
| gptkbp:bfsLayer |
7
|