SO(6)

- group, ∞-group
- group object, group object in an (∞,1)-category
- abelian group, spectrum
- group action, ∞-action
- representation, ∞-representation
- progroup
- homogeneous space

The special orthogonal group in dimension 6.

**rotation groups in low dimensions**:

Dynkin label | sp. orth. group | spin group | pin group | semi-spin group |
---|---|---|---|---|

SO(2) | Spin(2) | Pin(2) | ||

B1 | SO(3) | Spin(3) | Pin(3) | |

D2 | SO(4) | Spin(4) | Pin(4) | |

B2 | SO(5) | Spin(5) | Pin(5) | |

D3 | SO(6)? | Spin(6) | ||

B3 | SO(7)? | Spin(7) | ||

D4 | SO(8) | Spin(8) | SO(8) | |

B4 | SO(9) | Spin(9) | ||

D5 | SO(10) | Spin(10) | ||

B5 | SO(11) | Spin(11) | ||

D6 | SO(12) | Spin(12) | ||

$\vdots$ | $\vdots$ | |||

D8 | SO(16) | Spin(16) | SemiSpin(16) | |

$\vdots$ | $\vdots$ | |||

D16 | SO(32) | Spin(32) | SemiSpin(32) |

see also

Created on August 29, 2019 at 06:20:22. See the history of this page for a list of all contributions to it.