Extensions of realisations for low-dimensional Lie algebras
We find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poincaré algebra for one space dimension. Using inequivalent extensions, we performed comprehensive classification of relative differential invariants for these Lie algebras. We show difference between cl...
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| Format: | Article |
| Language: | English |
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SciPost
2023-11-01
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| Series: | SciPost Physics Proceedings |
| Online Access: | https://scipost.org/SciPostPhysProc.14.048 |
| _version_ | 1797456742945128448 |
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| author | Iryna Yehorchenko |
| author_facet | Iryna Yehorchenko |
| author_sort | Iryna Yehorchenko |
| collection | DOAJ |
| description | We find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poincaré algebra for one space dimension. Using inequivalent extensions, we performed comprehensive classification of relative differential invariants for these Lie algebras. We show difference between classification of extensions of realisations, and classification of nonlinear realisations of Lie algebras. |
| first_indexed | 2024-03-09T16:12:15Z |
| format | Article |
| id | doaj.art-a72fa467c98241cfa097cd6b71041a29 |
| institution | Directory Open Access Journal |
| issn | 2666-4003 |
| language | English |
| last_indexed | 2024-03-09T16:12:15Z |
| publishDate | 2023-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Proceedings |
| spelling | doaj.art-a72fa467c98241cfa097cd6b71041a292023-11-24T16:10:10ZengSciPostSciPost Physics Proceedings2666-40032023-11-011404810.21468/SciPostPhysProc.14.048Extensions of realisations for low-dimensional Lie algebrasIryna YehorchenkoWe find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poincaré algebra for one space dimension. Using inequivalent extensions, we performed comprehensive classification of relative differential invariants for these Lie algebras. We show difference between classification of extensions of realisations, and classification of nonlinear realisations of Lie algebras.https://scipost.org/SciPostPhysProc.14.048 |
| spellingShingle | Iryna Yehorchenko Extensions of realisations for low-dimensional Lie algebras SciPost Physics Proceedings |
| title | Extensions of realisations for low-dimensional Lie algebras |
| title_full | Extensions of realisations for low-dimensional Lie algebras |
| title_fullStr | Extensions of realisations for low-dimensional Lie algebras |
| title_full_unstemmed | Extensions of realisations for low-dimensional Lie algebras |
| title_short | Extensions of realisations for low-dimensional Lie algebras |
| title_sort | extensions of realisations for low dimensional lie algebras |
| url | https://scipost.org/SciPostPhysProc.14.048 |
| work_keys_str_mv | AT irynayehorchenko extensionsofrealisationsforlowdimensionalliealgebras |