Tanaka rigidity of graph Lie algebras

Published 12 Feb 2024 in math.DG, math.CO, and math.RA | (2402.07873v1)

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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Mauricio Godoy Molina

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