On the Canonical Construction of Simple Lie Superalgebras
Rings and Algebras
2026-01-16 v1
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.
Keywords
Cite
@article{arxiv.2601.10419,
title = {On the Canonical Construction of Simple Lie Superalgebras},
author = {J. Dhamothiran and Saudamini Nayak},
journal= {arXiv preprint arXiv:2601.10419},
year = {2026}
}
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