On geometrical properties of spinor structure
- 1 August 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (8) , 2097-2101
- https://doi.org/10.1063/1.524704
Abstract
The Crumeyrolle group e for four‐dimensional space‐time E is explicitely calculated. It is shown that the complexification of the Lie algebra of the group e is a spinor space. In this manner the condition of the existence of a spinor structure over E, formulated as the reduction of the structure group of the bundle of orthonormal frames to e, enables us to associate the spinor space to each point of space‐time in a continuous way.Keywords
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