# nLab Clifford bundle

Contents

## Spin geometry

spin geometry

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)

string geometry

## Ninebrane geometry

#### Bundles

bundles

fiber bundles in physics

# Contents

## Idea

A Clifford bundle is a fiber bundle of Clifford algebras.

## Examples

Given a spin bundle $P$, then the associated bundle $P \underset{Spin(n)}{\times} Cl_n$ is a Clifford bundle.

## References

Created on November 24, 2014 at 19:07:58. See the history of this page for a list of all contributions to it.