realization

16 triples
GPTKB property

Random triples
Subject Object
gptkb:circle_group_S^1 gptkb:unit_circle_in_complex_plane
gptkb:projective_plane_P^2 gptkb:complex_projective_plane
gptkb:Special_Orthogonal_Group_in_N_dimensions gptkb:group_of_people
gptkb:special_orthogonal_group_SO(2) matrices of the form [[cos θ, -sin θ], [sin θ, cos θ]]
gptkb:SO(2) symmetries of the circle
gptkb:rotation_algebra_so(3) angular momentum operators in quantum mechanics
gptkb:SU(2)_algebra 2x2 traceless Hermitian matrices
gptkb:Spin(3) unit quaternions
gptkb:Lorentz_group_for_p=1,_q=2 group of linear transformations of R^3 preserving x_0^2 - x_1^2 - x_2^2
gptkb:Sp(2)/Z_2 special orthogonal group in 5 dimensions
gptkb:Sp(n) group of unitary 2n×2n matrices preserving a quaternionic Hermitian form
gptkb:circle_group_SO(2) gptkb:unit_circle_in_complex_plane
gptkb:projective_plane_P^2 gptkb:real_projective_plane
gptkb:real_projective_space_RP^3 lines through the origin in R^4
gptkb:Sp(1) group of unit quaternions
gptkb:SO(n,_R) group of rotations in n-dimensional space