nLab
SO(11)

Contents

Contents

Idea

SO(11)SO(11) is the special orthogonal group in dimension 11.

Spin(11)Spin(11) is the spin group in dimension 11.

In the classification of simple Lie groups this is the entry B5.

rotation groups in low dimensions:

Dynkin labelsp. orth. groupspin grouppin groupsemi-spin group
SO(2)Spin(2)Pin(2)
B1SO(3)Spin(3)Pin(3)
D2SO(4)Spin(4)Pin(4)
B2SO(5)Spin(5)Pin(5)
D3SO(6)Spin(6)
B3SO(7)Spin(7)
D4SO(8)Spin(8)SO(8)
B4SO(9)Spin(9)
D5SO(10)Spin(10)
B5SO(11)Spin(11)
D6SO(12)Spin(12)
\vdots\vdots
D8SO(16)Spin(16)SemiSpin(16)
\vdots\vdots
D16SO(32)Spin(32)SemiSpin(32)

see also


References

General

(…)

As a grand unified gauge group

Discussion as a gauge group in grand unified theory (see there):

Last revised on August 29, 2019 at 07:42:13. See the history of this page for a list of all contributions to it.