special unitary algebra su(n)
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:associatedWith |
gptkb:special_unitary_group_SU(n)
|
| gptkbp:basisFor |
traceless anti-Hermitian n x n matrices
|
| gptkbp:CartanSubalgebraDimension |
n-1
|
| gptkbp:centralTo |
trivial
|
| gptkbp:commutationRelations |
[X,Y] = XY - YX
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
n^2 - 1
|
| gptkbp:field |
complex numbers
|
| gptkbp:firstAppearance |
20th century
|
| gptkbp:generation |
n^2 - 1 traceless anti-Hermitian matrices
|
| https://www.w3.org/2000/01/rdf-schema#label |
special unitary algebra su(n)
|
| gptkbp:KillingForm |
non-degenerate
|
| gptkbp:notation |
su(n)
|
| gptkbp:rank |
n - 1
|
| gptkbp:realForm |
gptkb:sl(n,_C)
|
| gptkbp:relatedTo |
gptkb:unitary_algebra_u(n)
|
| gptkbp:structure |
simple Lie algebra (for n > 1)
|
| gptkbp:subclassOf |
u(n)
|
| gptkbp:type |
A_{n-1}
|
| gptkbp:usedIn |
gptkb:theoretical_physics
particle physics quantum mechanics representation theory |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_n
|
| gptkbp:bfsParent |
gptkb:special_unitary_group_SU(n)
|
| gptkbp:bfsLayer |
6
|