dorsal/arxiv
View SchemaOn the Canonical Construction of Simple Lie Superalgebras
| Authors | J. Dhamothiran, Saudamini Nayak |
|---|---|
| Categories | |
| ArXiv ID | 2601.10419vv1 |
| URL | https://arxiv.org/abs/2601.10419 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
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.
{
"annotation_id": "da3df45c-fe89-447c-acb0-9e955b443586",
"date_created": "2026-02-17T05:53:23.679000Z",
"date_modified": "2026-02-17T05:53:23.679000Z",
"file_hash": "e1ef14d69bda96309056399c1388f709988f412fe826dc9f57b1379190565942",
"private": false,
"record": {
"abstract": "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.",
"arxiv_id": "2601.10419",
"authors": [
"J. Dhamothiran",
"Saudamini Nayak"
],
"categories": [
"math.RA"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "On the Canonical Construction of Simple Lie Superalgebras",
"url": "https://arxiv.org/abs/2601.10419",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "51ab5448-8b23-4d15-a31f-a40ca796ed90",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}