On the Canonical Construction of Simple Lie Superalgebras

arXiv (Cornell University) 2026 Preprint Open access

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Authors: J. Dhamothiran, Saudamini Nayak
DOI: 10.48550/arxiv.2601.10419
Cited by: 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.

Fields of Study & Subjects

Advanced Topics in Algebra Algebraic structures and combinatorial models Advanced Algebra and Geometry

Publication details

Journal / source
arXiv (Cornell University)
Publication date
15 January 2026
Document type
Preprint