Generalised nice sets
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912158269308928 |
|---|---|
| author | Draper, Cristina Meyer, Thomas L. Sánchez-Ortega, Juana |
| author_facet | Draper, Cristina Meyer, Thomas L. Sánchez-Ortega, Juana |
| contents | A new combinatorial object, called generalised nice set, is classified up to collineations of the Fano plane. This classification is necessary to find the graded contractions of all the exceptional complex Lie algebras of dimension at least 52, endowed with $\mathbb Z_2^3$-gradings coming from the octonions. Our classification is of purely combinatorial nature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11287 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalised nice sets Draper, Cristina Meyer, Thomas L. Sánchez-Ortega, Juana Combinatorics Rings and Algebras 51E20 A new combinatorial object, called generalised nice set, is classified up to collineations of the Fano plane. This classification is necessary to find the graded contractions of all the exceptional complex Lie algebras of dimension at least 52, endowed with $\mathbb Z_2^3$-gradings coming from the octonions. Our classification is of purely combinatorial nature. |
| title | Generalised nice sets |
| topic | Combinatorics Rings and Algebras 51E20 |
| url | https://arxiv.org/abs/2412.11287 |