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arXiv · 2011.06871

Gradings for nilpotent Lie algebras

Eero Hakavuori·Ville Kivioja·Terhi Moisala·Francesca Tripaldi
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Abstract

We present a constructive approach to torsion-free gradings of Lie algebras. Our main result is the computation of a maximal grading. Given a Lie algebra, using its maximal grading we enumerate all of its torsion-free gradings as well as its positive gradings. As applications, we classify gradings in low dimension, we consider the enumeration of Heintze groups, and we give methods to find bounds for non-vanishing $\ell^{q,p}$ cohomology.

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BibTeXRIS

Eero Hakavuori, Ville Kivioja, Terhi Moisala, Francesca Tripaldi. 2020-11-13. Gradings for nilpotent Lie algebras. https://arxiv.org/abs/2011.06871

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