Remarks on Multi-Dimensional Conformal Mechanics
Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, we relate this transformation with the Weil model of Lobachewsky space.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149262 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Remarks on Multi-Dimensional Conformal Mechanics / C. Burdík, A. Nersessian // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862752639531352064 |
|---|---|
| author | Burdík, C. Nersessian, A. |
| author_facet | Burdík, C. Nersessian, A. |
| citation_txt | Remarks on Multi-Dimensional Conformal Mechanics / C. Burdík, A. Nersessian // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, we relate this transformation with the Weil model of Lobachewsky space.
|
| first_indexed | 2025-12-07T21:17:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149262 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:17:32Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Burdík, C. Nersessian, A. 2019-02-19T19:30:11Z 2019-02-19T19:30:11Z 2009 Remarks on Multi-Dimensional Conformal Mechanics / C. Burdík, A. Nersessian // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 70H33; 70H06 https://nasplib.isofts.kiev.ua/handle/123456789/149262 Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, we relate this transformation with the Weil model of Lobachewsky space. This paper is a contribution to the Proceedings of the XVIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 19–22, 2008, Prague, Czech Republic). The work is done in accordance with the research plan of the Czech Ministry of Education MSM6840770039, and partially supported by grant of the Artsakh Ministry of Education and Science and by NFSAT-CRDF UC 06/07 and INTAS-05-7928 grants. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Remarks on Multi-Dimensional Conformal Mechanics Article published earlier |
| spellingShingle | Remarks on Multi-Dimensional Conformal Mechanics Burdík, C. Nersessian, A. |
| title | Remarks on Multi-Dimensional Conformal Mechanics |
| title_full | Remarks on Multi-Dimensional Conformal Mechanics |
| title_fullStr | Remarks on Multi-Dimensional Conformal Mechanics |
| title_full_unstemmed | Remarks on Multi-Dimensional Conformal Mechanics |
| title_short | Remarks on Multi-Dimensional Conformal Mechanics |
| title_sort | remarks on multi-dimensional conformal mechanics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149262 |
| work_keys_str_mv | AT burdikc remarksonmultidimensionalconformalmechanics AT nersessiana remarksonmultidimensionalconformalmechanics |