12 citations · 30 across the 13 of their papers we have counts for
14 papers
Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
Marco Aldi, Sergio Da Silva, Daniele Grandini
In this paper we consider families of mutually commuting endomorphisms of the generalized tangent bundle. We identify natural tensorial constraints extending the notion of a genera…
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…
An Efficiently Computable Lower Bound for the Independence Number of Hypergraphs
Marco Aldi, Thor Gabrielsen, Daniele Grandini +2
Let be fixed. We study the integer lower bound obtained by inverting the classical counting inequality for Turán systems. For a -uniform hypergraph with ve…
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…
A note on the shifted Courant-Nijenhuis torsion
Marco Aldi, Sergio Da Silva, Daniele Grandini
We characterize the vanishing of the shifted Courant-Nijenhuis torsion as the strongest tensorial integrability condition that can be imposed on a skew-symmetric endomorphism of th…
Polynomial Structures in Generalized Geometry
Marco Aldi, Daniele Grandini
On the generalized tangent bundle of a smooth manifold, we study skew-symmetric endomorphism satisfying an arbitrary polynomial equation with real constant coefficients. We study t…