Calculus of Variations and Geometric Measure Theory
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E. Hakavuori - V. Kivioja - T. Moisala - F. Tripaldi

Gradings for nilpotent Lie algebras

created by hakavuori on 16 Nov 2020
modified on 17 Nov 2020

[BibTeX]

preprint

Inserted: 16 nov 2020
Last Updated: 17 nov 2020

Year: 2020

ArXiv: 2011.06871 PDF

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.

Tags: GeoMeG

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