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arXiv · 2601.10419

On the Canonical Construction of Simple Lie Superalgebras

J. Dhamothiran·Saudamini Nayak
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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.

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J. Dhamothiran, Saudamini Nayak. 2026-01-15. On the Canonical Construction of Simple Lie Superalgebras. https://arxiv.org/abs/2601.10419

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