Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:complex_vector_space
|
| gptkbp:application |
differential geometry
number theory physics quantum mechanics representation theory statistics |
| gptkbp:centralTo |
gptkb:circle_group
|
| gptkbp:compact |
true
|
| gptkbp:connects |
true
|
| gptkbp:containsElement |
gptkb:unitary_matrix
|
| gptkbp:definedIn |
complex numbers
|
| gptkbp:defines |
group of n×n unitary matrices
|
| gptkbp:dimensions |
n^2
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubgroup |
gptkb:orthogonal_group
|
| gptkbp:identityElement |
identity matrix
conjugate transpose |
| gptkbp:namedFor |
gptkb:mathematician
|
| gptkbp:notation |
U(n)
|
| gptkbp:order |
infinite
|
| gptkbp:preserves |
Hermitian inner product
|
| gptkbp:relatedTo |
gptkb:general_linear_group
gptkb:orthogonal_group |
| gptkbp:subclassOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:bfsParent |
gptkb:Linear_Algebraic_Groups
gptkb:Topological_Groups |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Unitary group
|