On the Canonical Construction of Simple Lie Superalgebras
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917205601419264 |
|---|---|
| author | Dhamothiran, J. Nayak, Saudamini |
| author_facet | Dhamothiran, J. Nayak, Saudamini |
| contents | Axioms for the generalization of root systems were defined and classified (irreducible) by V. Serganova, which precisely correspond to the root systems of basic classical Lie Superalgebras. Here, we present a unified method for constructing simple Lie Superalgebras from the abstract root system, with the choice of base having the minimal number of isotropic roots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10419 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Canonical Construction of Simple Lie Superalgebras Dhamothiran, J. Nayak, Saudamini Rings and Algebras Axioms for the generalization of root systems were defined and classified (irreducible) by V. Serganova, which precisely correspond to the root systems of basic classical Lie Superalgebras. Here, we present a unified method for constructing simple Lie Superalgebras from the abstract root system, with the choice of base having the minimal number of isotropic roots. |
| title | On the Canonical Construction of Simple Lie Superalgebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2601.10419 |