Rigid 2-step graph Lie algebras
Josefina Barrionuevo, Paulo Tirao
TL;DR
This paper characterizes specific graphs that correspond to rigid 2-step nilpotent Lie algebras within the broader class of at most 2-step nilpotent Lie algebras.
Contribution
It provides a characterization of graphs associated with rigid 2-step nilpotent Lie algebras, advancing understanding of their structural properties.
Findings
Identifies graphs corresponding to rigid 2-step nilpotent Lie algebras
Provides criteria for rigidity in the context of graph-Lie algebra correspondence
Enhances classification of 2-step nilpotent Lie algebras
Abstract
We characterize those graphs which correspond to a rigid 2-step nilpotent Lie algebra in the variety of at most 2-step nilpotent Lie algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research