15 citations · 90 across the 32 of their papers we have counts for
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Separating invariants over finite fields
Gregor Kemper, Artem Lopatin, Fabian Reimers
We determine the minimal number of separating invariants for the invariant ring of a matrix group over the finite field . We show th…
Separating invariants for multisymmetric polynomials
Artem Lopatin, Fabian Reimers
This article studies separating invariants for the ring of multisymmetric polynomials in sets of variables over an arbitrary field . We prove that in order to o…
Separating invariants for 2x2 matrices
Ivan Kaygorodov, Artem Lopatin, Yury Popov
A minimal separating set is found for the algebra of matrix invariants of several 2x2 matrices over an infinite field of arbitrary characteristic
Orthogonal matrix invariants
A. A. Lopatin
The orthogonal group acts on the space of several matrices by simultaneous conjugation. For an infinite field of characteristic different from two, relations between ge…
Free relations for matrix invariants in modular case
A. A. Lopatin
A classical linear group acts on -tuples of matrices by simultaneous conjugation. Working over an infinite field of characteristic different from two we es…
Orthogonal invariants of skew-symmetric matrices
A. A. Lopatin
The algebra of invariants of d-tuples of n x n skew-symmetric matrices under the action of the orthogonal group by simultaneous conjugation is considered over an infinite field of…