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arXiv · 2402.07873

Tanaka rigidity of graph Lie algebras

Mauricio Godoy Molina
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Abstract

We give sufficient conditions on a labeled direct graph to determine whether the Tanaka prolongation of its associated Lie algebra is infinite-dimensional. In the case that all directed edges are labeled differently, the corresponding graph Lie algebra is of infinite type if and only if the graph has a vertex of degree one.

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BibTeXRIS

Mauricio Godoy Molina. 2024-02-12. Tanaka rigidity of graph Lie algebras. https://arxiv.org/abs/2402.07873

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