Special Unitary Group of degree 6
GPTKB entity
Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:abbreviation |
gptkb:SU(6)
|
| gptkbp:centralTo |
gptkb:cyclic_group_of_order_6
|
| gptkbp:compact_real_form |
gptkb:SU(6)
|
| gptkbp:definedIn |
complex numbers
|
| gptkbp:dimensions |
35
|
| gptkbp:hasSubgroup |
unitary group of degree 6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Special Unitary Group of degree 6
|
| gptkbp:isSimple |
degree ≥ 2
|
| gptkbp:Lie_algebra |
gptkb:su(6)
|
| gptkbp:maximal_compact_subgroup |
gptkb:SU(6)
|
| gptkbp:non-compact_real_form |
SU(p,6-p) for 0 ≤ p ≤ 6
|
| gptkbp:notation |
gptkb:SU(6)
|
| gptkbp:order_(finite_version_over_F_q) |
q^{15}(q^6-1)(q^5-1)(q^4-1)(q^3-1)(q^2-1)(q-1)/gcd(6,q+1)
|
| gptkbp:rank |
5
|
| gptkbp:relatedTo |
projective special unitary group of degree 6
special linear group of degree 6 unitary group of degree 6 |
| gptkbp:type |
orthogonal group
|
| gptkbp:used_in |
gptkb:theoretical_physics
particle physics representation theory |
| gptkbp:bfsParent |
gptkb:SU(6)
|
| gptkbp:bfsLayer |
8
|