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On the rigidity of k-step nilpotent graph Lie algebras

Year: 2025

Type: article

Abstract: We thoroughly explore the class of [Formula: see text]-step nilpotent Lie algebras associated with a simple graph looking for [Formula: see text]-step nilpotent Lie algebras which are rigid in the variety of at most [Formula: see text]-step nilpotent Lie algebras. We find out that, besides the complete graph, the only examples arise for [Formula: see text] and graphs of at most four vertices. A key tool to prove non-[Formula: see text]-rigidity, in this context, is a general construction of nontrivial deformations for naturally graded nilpotent Lie algebras.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827500769

Authors: Josefina Barrionuevo, Paulo Tirao

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional de Córdoba, Guangdong Technion-Israel Institute of Technology

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415978598

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