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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146535 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Snyder Space-Time: K-Loop and Lie Triple System / F. Girelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862641064142176256 |
|---|---|
| author | Girelli, F. |
| author_facet | Girelli, F. |
| citation_txt | Snyder Space-Time: K-Loop and Lie Triple System / F. Girelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-01T04:10:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146535 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T04:10:40Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Girelli, F. 2019-02-09T20:31:50Z 2019-02-09T20:31:50Z 2010 Snyder Space-Time: K-Loop and Lie Triple System / F. Girelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17C90; 81T75 DOI:10.3842/SIGMA.2010.074 https://nasplib.isofts.kiev.ua/handle/123456789/146535 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. This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Snyder Space-Time: K-Loop and Lie Triple System Article published earlier |
| spellingShingle | Snyder Space-Time: K-Loop and Lie Triple System Girelli, F. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146535 |
| work_keys_str_mv | AT girellif snyderspacetimekloopandlietriplesystem |