3 citations · 4 across the 7 of their papers we have counts for
7 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…
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…
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…
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…
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 -…
Asymptotic behaviour of the -number of homogeneous ideals
Antonino Ficarra, Emanuele Sgroi
Let be a graded ideal of a standard graded polynomial ring with coefficients in a field . The asymptotic behaviour of the -number of the powers of is inves…
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…