Clifford Algebras and Possible Kinematics
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Clifford Algebras and Possible Kinematics
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| Creator |
McRae, A.S.
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| Description |
We review Bacry and Lévy-Leblond's work on possible kinematics as applied to 2-dimensional spacetimes, as well as the nine types of 2-dimensional Cayley-Klein geometries, illustrating how the Cayley-Klein geometries give homogeneous spacetimes for all but one of the kinematical groups. We then construct a two-parameter family of Clifford algebras that give a unified framework for representing both the Lie algebras as well as the kinematical groups, showing that these groups are true rotation groups. In addition we give conformal models for these spacetimes.
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| Date |
2019-02-14T14:45:50Z
2019-02-14T14:45:50Z 2007 |
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| Type |
Article
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| Identifier |
Clifford Algebras and Possible Kinematics / A.S. McRae // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 28 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 11E88; 15A66; 53A17 http://dspace.nbuv.gov.ua/handle/123456789/147367 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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