Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:application |
particle physics
quantum mechanics representation theory |
| gptkbp:centralTo |
gptkb:U(1)
|
| gptkbp:compact |
true
|
| gptkbp:connects |
true
|
| gptkbp:contains |
special unitary group SU(N)
|
| gptkbp:definedIn |
group of N x N unitary matrices
|
| gptkbp:dimensions |
N^2
|
| gptkbp:field |
complex numbers
|
| gptkbp:generation |
N^2 Hermitian matrices
|
| gptkbp:hasSubgroup |
general linear group GL(N,C)
|
| https://www.w3.org/2000/01/rdf-schema#label |
unitary group U(N)
|
| gptkbp:identityElement |
identity matrix
|
| gptkbp:maximalCompactSubgroupOf |
GL(N,C)
|
| gptkbp:notation |
gptkb:U(N)
|
| gptkbp:operator |
matrix multiplication
|
| gptkbp:property |
non-abelian for N > 1
|
| gptkbp:realForm |
orthogonal group O(N)
|
| gptkbp:relatedTo |
unitary matrices
special unitary group SU(N) orthogonal group O(N) symplectic group Sp(N) |
| gptkbp:bfsParent |
gptkb:SU(N)_algebra
gptkb:Special_Unitary_Group_of_degree_N |
| gptkbp:bfsLayer |
7
|