Artem Lopatin

collaborators

2 papers

math.AC2025

Separating symmetric polynomials over finite fields

Artem Lopatin, Pedro Antonio Muniz Martins, Lael Viana Lima

The set $S (n)$ of all elementary symmetric polynomials in $n$ variables is a minimal generating set for the algebra of symmetric polynomials in $n$ variables, but over a finite fie…

math.AC2025

Separating invariants for two-dimensional orthogonal groups over finite fields

Artem Lopatin, Pedro Antonio Muniz Martins

We described a minimal separating set for the algebra of $O (F_{q})$ -invariant polynomial functions of $m$ -tuples of two-dimensional vectors over a finite field $F_{q}$ .