6 papers
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…
Hierarchy of coupled Burgers-like equations induced by conditional symmetries
M. Gorgone, F. Oliveri, E. Sgroi
It is known that -conditional symmetries of the classical Burgers' equation express in terms of three functions satisfying a coupled system of Burgers-like equations. The search…
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…
Asymptotic behaviour of integer programming and the -function of a graded filtration
Antonino Ficarra, Emanuele Sgroi
The -function of a graded filtration is introduced. Under the assumption that is Noetherian, we prove that the -…
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…
The size of the Betti table of Binomial Edge Ideals
Antonino Ficarra, Emanuele Sgroi
Let be a finite simple graph on non-isolated vertices, and let be its binomial edge ideal. We determine almost all pairs , wher…