Statements (24)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:Lie_group
orthogonal group |
gptkbp:centralTo |
gptkb:Z/2Z
|
gptkbp:dimensions |
10
|
gptkbp:field |
complex numbers
|
https://www.w3.org/2000/01/rdf-schema#label |
Sp(4, C)
|
gptkbp:Lie_algebra |
sp(4, C)
|
gptkbp:matrix_size |
4x4
|
gptkbp:maximal_compact_subgroup |
USp(4)
|
gptkbp:preserves |
non-degenerate skew-symmetric bilinear form
|
gptkbp:rank |
2
|
gptkbp:realForm |
Sp(4, R)
|
gptkbp:relatedTo |
symplectic form
symplectic vector space |
gptkbp:type |
gptkb:Lie_group
C2 non-compact Lie group connected Lie group |
gptkbp:universalCover |
itself
|
gptkbp:usedIn |
gptkb:algebraic_geometry
mathematical physics representation theory |
gptkbp:bfsParent |
gptkb:symplectic_groups
|
gptkbp:bfsLayer |
7
|