Geodesic
Framed moduli spaces and tuples of operators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 5, pp. 187-209

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In this work, we address the classical problem of classifying tuples of linear operators and linear functions on a finite-dimensional vector space up to base change. Having adopted for the situation considered a construction of framed moduli spaces of quivers, we develop an explicit classification of tuples belonging to a Zariski open subset. For such tuples we provide a finite family of normal forms and a procedure allowing one to determine whether two tuples are equivalent. 
@article{FPM_2012_17_5_a12,
     author = {S. N. Fedotov},
     title = {Framed moduli spaces and tuples of operators},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {187--209},
     publisher = {mathdoc},
     volume = {17},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_5_a12/}
}
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S. N. Fedotov. Framed moduli spaces and tuples of operators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 5, pp. 187-209. http://geodesic.mathdoc.fr/item/FPM_2012_17_5_a12/