nLab
Spin(16)

Contents

Context

Group Theory

Spin geometry

Contents

Idea

The spin group in dimension 16.

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

type I' string theory

References

General

(…)

In grand unified theory

Discussion of Spin(16)-grand unified theories (traditionally called “SO(16)” GUT):

Last revised on August 28, 2019 at 07:42:23. See the history of this page for a list of all contributions to it.