15 citations · 90 across the 32 of their papers we have counts for
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math.RT2007★ 4 cited
Representations of quivers, their generalizations and invariants
A. A. Lopatin, A. N. Zubkov
This paper is a survey on invariants of representations of quivers and their generalizations. We present the description of generating systems for invariants and relations between…
math.RA2007
The Invariant Ring of Triples of 3x3 Matrices over a Field of Arbitrary Characteristic
A. A. Lopatin
Let R_{n,d} be the ring of invariants of d-tuples of n x n matrices under the simultaneous conjugation action of the general linear group. A minimal generating system and a homogen…
math.RA2007
Indecomposable invariants of quivers for dimension (2,...,2) and maximal paths
A. A. Lopatin
An upper bound on degrees of elements of a minimal generating system for invariants of quivers of dimension (2,...,2) is established over a field of arbitrary characteristic and it…