most citedAbelian Factor in 2-step Nilpotent Lie Algebras Constructed from Graphs

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math.DG2022★ 1 cited

Abelian Factor in 2-step Nilpotent Lie Algebras Constructed from Graphs

Rachelle DeCoste, Lisa DeMeyer, Meera Mainkar +1

We consider real 2-step metric nilpotent Lie algebras associated to graphs with possibly repeated edge labels as constructed by Ray in 2016. We determine how the structure of the e…

math.DG2015

Graphs and Metric 2-step Nilpotent Lie Algebras

Rachelle DeCoste, Lisa DeMeyer, Meera Mainkar

Dani and Mainkar introduced a method for constructing a 2-step nilpotent Lie algebra from a simple directed graph in 2005. There is a natural inner product on…