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arXiv · 1904.09578

The roots of exceptional modular Lie superalgebras with Cartan matrix

Sofiane Bouarroudj·Dimitry Leites·Alexander Lozhechnyk·Jin Shang
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Abstract

For each of the exceptional Lie superalgebras with indecomposable Cartan matrix, we give the explicit list of its roots of and the corresponding Chevalley basis for one of the inequivalent Cartan matrices, the one corresponding to the greatest number of mutually orthogonal isotropic odd simple roots. Our main tools: Grozman's Mathematica-based code SuperLie, and Python.

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Sofiane Bouarroudj, Dimitry Leites, Alexander Lozhechnyk, Jin Shang. 2019-04-21. The roots of exceptional modular Lie superalgebras with Cartan matrix. https://arxiv.org/abs/1904.09578

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