| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Dept Math, ICMC, Caixa Postal 668, BR-13560970 Sao Carlos - Brazil
[2] Univ Fed Sao Carlos, Dept Math, CCET, Caixa Postal 676, BR-13565905 Sao Carlos - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Colloquium Mathematicum; v. 167, n. 1 MAY 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We start a systematic study of invariant functions and equivariant mappings defined on Minkowski space under the action of the Lorentz group. We adapt some known results from the orthogonal group acting on Euclidean space to the Lorentz group acting on Minkowski space. In addition, an algorithm is given to compute generators of the ring of functions that are invariant under an important class of Lorentz subgroups, namely those generated by involutions, which is also useful to compute equivariants. Furthermore, general results on invariant subspaces of Minkowski space are presented, with a characterization of invariant lines and planes in the two lowest dimensions. (AU) | |
| FAPESP's process: | 19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision |
| Grantee: | Farid Tari |
| Support Opportunities: | Research Projects - Thematic Grants |