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math-ph2025★ 1 cited
Symbolic computation of optimal systems of subalgebras of three- and four-dimensional real Lie algebras
Luca Amata, Francesco Oliveri, Emanuele Sgroi
The complete optimal systems of subalgebras of all nonisomorphic three- and four-dimensional real Lie algebras are analyzed by the program \symbolie running in the computer algebra…
math.AC2025
Comparison of stability indices of powers of graded ideals
Antonino Ficarra, Emanuele Sgroi
In this paper, we compare the index of ass-stability and the index of -stability of powers of a graded ideal . We prove that $\text…
math-ph2025
Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators
Giorgio Gubbiotti, Francesco Oliveri, Emanuele Sgroi +1
We study from an algebraic and geometric viewpoint Hamiltonian operators which are sum of a non-degenerate first-order homogeneous operator and a Poisson tensor. In flat coordinate…