Snyder Space-Time: K-Loop and Lie Triple System
Different deformations of the Poincaré symmetries have been identified for various non-commutative spaces (e.g. κ-Minkowski, sl(2,R), Moyal). We present here the deformation of the Poincaré symmetries related to Snyder space-time. The notions of smooth ''K-loop'', a non-associati...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2010-09-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.074 |
| _version_ | 1818031582299029504 |
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| author | Florian Girelli |
| author_facet | Florian Girelli |
| author_sort | Florian Girelli |
| collection | DOAJ |
| description | Different deformations of the Poincaré symmetries have been identified for various non-commutative spaces (e.g. κ-Minkowski, sl(2,R), Moyal). We present here the deformation of the Poincaré symmetries related to Snyder space-time. The notions of smooth ''K-loop'', a non-associative generalization of Abelian Lie groups, and its infinitesimal counterpart given by the Lie triple system are the key objects in the construction. |
| first_indexed | 2024-12-10T05:53:46Z |
| format | Article |
| id | doaj.art-da0180eed8d24e1ebfcaf3865ec6a1a2 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-10T05:53:46Z |
| publishDate | 2010-09-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-da0180eed8d24e1ebfcaf3865ec6a1a22022-12-22T01:59:59ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-09-016074Snyder Space-Time: K-Loop and Lie Triple SystemFlorian GirelliDifferent deformations of the Poincaré symmetries have been identified for various non-commutative spaces (e.g. κ-Minkowski, sl(2,R), Moyal). We present here the deformation of the Poincaré symmetries related to Snyder space-time. The notions of smooth ''K-loop'', a non-associative generalization of Abelian Lie groups, and its infinitesimal counterpart given by the Lie triple system are the key objects in the construction.http://dx.doi.org/10.3842/SIGMA.2010.074Snyder space-timequantum group |
| spellingShingle | Florian Girelli Snyder Space-Time: K-Loop and Lie Triple System Symmetry, Integrability and Geometry: Methods and Applications Snyder space-time quantum group |
| title | Snyder Space-Time: K-Loop and Lie Triple System |
| title_full | Snyder Space-Time: K-Loop and Lie Triple System |
| title_fullStr | Snyder Space-Time: K-Loop and Lie Triple System |
| title_full_unstemmed | Snyder Space-Time: K-Loop and Lie Triple System |
| title_short | Snyder Space-Time: K-Loop and Lie Triple System |
| title_sort | snyder space time k loop and lie triple system |
| topic | Snyder space-time quantum group |
| url | http://dx.doi.org/10.3842/SIGMA.2010.074 |
| work_keys_str_mv | AT floriangirelli snyderspacetimekloopandlietriplesystem |