symplectic group over quaternions
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:alsoKnownAs |
gptkb:compact_symplectic_group
|
| gptkbp:appearsIn |
differential geometry
representation theory theory of symmetric spaces |
| gptkbp:dimensions |
n
|
| gptkbp:field |
quaternions
|
| gptkbp:hasSubgroup |
general linear group over quaternions
|
| https://www.w3.org/2000/01/rdf-schema#label |
symplectic group over quaternions
|
| gptkbp:is_a_real_Lie_group_of_dimension |
n(2n+1)
|
| gptkbp:preserves |
quaternionic Hermitian form
|
| gptkbp:relatedTo |
gptkb:symplectic_group_over_complex_numbers
gptkb:symplectic_group_over_real_numbers orthogonal group |
| gptkbp:symbol |
gptkb:Sp(n)
|
| gptkbp:bfsParent |
gptkb:symplectic_groups
|
| gptkbp:bfsLayer |
7
|