Symbolic computation in cubic Jordan matrix algebras and in related structures
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910131433766912 |
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| author | Wiedemann, Torben |
| author_facet | Wiedemann, Torben |
| contents | We present CubicJordanMatrixAlg, a GAP package for symbolic computation in cubic Jordan matrix algebras and in related Lie-theoretic structures. As an application, we use it to compute certain (commutator) relations in $F_4$-graded groups that were constructed by De Medts and the author from cubic Jordan matrix algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13809 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symbolic computation in cubic Jordan matrix algebras and in related structures Wiedemann, Torben Rings and Algebras Group Theory 17-04, 20-04 (Primary) 17B45, 20G41 (Secondary) We present CubicJordanMatrixAlg, a GAP package for symbolic computation in cubic Jordan matrix algebras and in related Lie-theoretic structures. As an application, we use it to compute certain (commutator) relations in $F_4$-graded groups that were constructed by De Medts and the author from cubic Jordan matrix algebras. |
| title | Symbolic computation in cubic Jordan matrix algebras and in related structures |
| topic | Rings and Algebras Group Theory 17-04, 20-04 (Primary) 17B45, 20G41 (Secondary) |
| url | https://arxiv.org/abs/2604.13809 |