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Extensions of Realisations for Low-Dimensional Lie Algebras
by Iryna Yehorchenko
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Iryna Yehorchenko |
| Submission information | |
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| Preprint Link: | scipost_202212_00054v2 (pdf) |
| Date accepted: | 2023-08-30 |
| Date submitted: | 2023-06-19 02:51 |
| Submitted by: | Yehorchenko, Iryna |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poincar\'e algebra for one space dimension. Using inequivalent extensions, we performed a comprehensive classification of relative differential invariants for these Lie algebras. We show the difference between the classification of extensions of realisations, and the classification of nonlinear realisations of Lie algebras.
Author comments upon resubmission
List of changes
1. New text of the Abstract.
2. Rewritten Introduction, including reformulation of Definition 4.
3. Added reference 3
4. Corrected mistake in line 4, column 4, Table 1 (page 4)
5. Rewritten Conclusions.
6. Changed the order of references in accordance with the rewritten introduction
7. Calculations in Section 3 on page 4 were abridged to leave space for extended motivation and application comments.
Published as SciPost Phys. Proc. 14, 048 (2023)