A spinorial decomposition of gl_4(R)
- Autori: Falcone, G
- Anno di pubblicazione: 2010
- Tipologia: Capitolo o Saggio (Capitolo o saggio)
- Parole Chiave: Lie groups, spin group, quaternions.
- OA Link: http://hdl.handle.net/10447/60454
Abstract
We determine six invariant subspaces of the 16-dimensional space gl_4(R) under the conjugation by any element in Spin_3(R). Four of them add up to the 10-dimensional space of symmetric matrices and the other two add up to the 6-dimensional space of skew-symmetric matrices.