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math.RA2025
Independence Polynomials of 2-step Nilpotent Lie Algebras
Marco Aldi, Thor Gabrielsen, Daniele Grandini +2
Motivated by the Dani-Mainkar construction, we extend the notion of independence polynomial of graphs to arbitrary 2-step nilpotent Lie algebras. After establishing efficiently com…
math.RA2024★ 1 cited
On the cohomology of Lie algebras associated with graphs
Marco Aldi, Andrew Butler, Jordan Gardiner +3
We describe a canonical decomposition of the cohomology of the Dani-Mainkar metabelian Lie algebras associated with graphs. As applications, we obtain explicit formulas for the thi…