|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
gptkb:SO(10,C)
|
|
gptkbp:centralTo
|
gptkb:Z/2Z
|
|
gptkbp:compact
|
true
|
|
gptkbp:complexification
|
gptkb:SO(10)
|
|
gptkbp:connects
|
true
|
|
gptkbp:dimensions
|
45
|
|
gptkbp:field
|
complex numbers
|
|
gptkbp:fullName
|
gptkb:Special_Orthogonal_Group_in_10_dimensions_over_the_complex_numbers
|
|
gptkbp:fundamentalGroup
|
gptkb:Z/2Z
|
|
gptkbp:groupOrder
|
infinite
|
|
gptkbp:hasConnection
|
true
|
|
gptkbp:hasMaximalTorus
|
(C^*)^5
|
|
gptkbp:hasSubgroup
|
gptkb:GL(10,C)
|
|
gptkbp:isAlgebraicGroup
|
true
|
|
gptkbp:isClassicalGroup
|
true
|
|
gptkbp:isMatrixGroup
|
true
|
|
gptkbp:isQuotientOf
|
gptkb:Spin(10,C)
|
|
gptkbp:isReductive
|
true
|
|
gptkbp:isSemisimple
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:Lie_algebra
|
so(10,C)
|
|
gptkbp:maximalCompactSubgroup
|
gptkb:SO(10)
|
|
gptkbp:notation
|
gptkb:SO(10,ℂ)
gptkb:SO(10,C)
|
|
gptkbp:rank
|
5
|
|
gptkbp:realForm
|
gptkb:SO(10,R)
|
|
gptkbp:relatedTo
|
gptkb:Spin(10,C)
gptkb:Dynkin_diagram_D5
gptkb:SO(10,R)
gptkb:Lie_group
gptkb:orthogonal_group
quadratic forms
Cartan subalgebra
spinor representation
orthogonal geometry
|
|
gptkbp:simplyConnectedCover
|
gptkb:Spin(10,C)
|
|
gptkbp:type
|
gptkb:group_of_people
gptkb:Lie_group
gptkb:D5
|
|
gptkbp:usedIn
|
gptkb:theoretical_physics
representation theory
grand unified theories
|
|
gptkbp:Weyl_group
|
gptkb:Weyl_group_of_type_D5
|
|
gptkbp:bfsParent
|
gptkb:SO(10)
|
|
gptkbp:bfsLayer
|
8
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
SO(10,C)
|