15 citations · 90 across the 32 of their papers we have counts for
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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…
Minimal generating set for semi-invariants of quivers of dimension two
A. A. Lopatin
A minimal (by inclusion) generating set for the algebra of semi-invariants of a quiver of dimension (2,...,2) is established over an infinite field of arbitrary characteristic. The…