nLab
SO(5)

Contents

Contents

Idea

The special orthogonal group in dimension 5.

rotation groups in low dimensions:

sp. orth. groupspin grouppin groupsemi-spin group
SO(2)Spin(2)Pin(2)
SO(3)Spin(3)
SO(4)Spin(4)
SO(5)Spin(5)Pin(5)
Spin(6)
Spin(7)
SO(8)Spin(8)SO(8)
SO(9)Spin(9)
\vdots\vdots
SO(16)Spin(16)SemiSpin(16)
SO(32)Spin(32)SemiSpin(32)

see also

References

  • Jason Hanson, Rotations in three, four, and five dimensions (arXiv:1103.5263)

Created on April 10, 2019 at 11:54:21. See the history of this page for a list of all contributions to it.