Real Clifford algebras and their spinors for relativistic fermions
Real Clifford algebras for arbitrary numbers of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed. The Clifford algebras are classified in terms of isomorphic matrix algebras of real, complex or quaternionic type. Spinors are defined as element...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
28 May 2021
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| In: |
Universe
Year: 2021, Volume: 7, Issue: 6, Pages: 1-34 |
| ISSN: | 2218-1997 |
| DOI: | 10.3390/universe7060168 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.3390/universe7060168 Verlag, lizenzpflichtig, Volltext: https://www.mdpi.com/2218-1997/7/6/168 
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| Author Notes: | Stefan Floerchinger |
| Summary: | Real Clifford algebras for arbitrary numbers of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed. The Clifford algebras are classified in terms of isomorphic matrix algebras of real, complex or quaternionic type. Spinors are defined as elements of minimal or quasi-minimal left ideals within the Clifford algebra and as representations of the pin and spin groups. Two types of Dirac adjoint spinors are introduced carefully. The relationship between mathematical structures and applications to describe relativistic fermions is emphasized throughout. |
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| Item Description: | Gesehen am 09.07.2021 |
| Physical Description: | Online Resource |
| ISSN: | 2218-1997 |
| DOI: | 10.3390/universe7060168 |