nLab
Spin(5,1)
Contents
Context
Group Theory
group theory
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Related concepts
Contents
Idea
The Lorentzian spin group in dimension
Properties
Isomorphism with
See at SL(2,H).
exceptional spinors and real normed division algebras
Lorentzian spacetime dimension | spin group | normed division algebra | brane scan entry |
---|
| | the real numbers | super 1-brane in 3d |
| | the complex numbers | super 2-brane in 4d |
| SL(2,H) | the quaternions | little string |
| Spin(9,1) “SL(2,O)” | the octonions | heterotic/type II string |
References
Via quaternion-calculus and SL(2,H):
Last revised on September 25, 2021 at 06:31:17.
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