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A Note on the Automorphism Group of the Bielawski–Pidstrygach Quiver
Symmetry, integrability and geometry: methods and applications, Tome 9 (2013) Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that there exists a morphism between a group $\Gamma^{\mathrm{alg}}$ introduced by G. Wilson and a quotient of the group of tame symplectic automorphisms of the path algebra of a quiver introduced by Bielawski and Pidstrygach. The latter is known to act transitively on the phase space \(\mathcal{C}_{n,2}\) of the Gibbons–Hermsen integrable system of rank $2$, and we prove that the subgroup generated by the image of $\Gamma^{\mathrm{alg}}$ together with a particular tame symplectic automorphism has the property that, for every pair of points of the regular and semisimple locus of \(\mathcal{C}_{n,2}\), the subgroup contains an element sending the first point to the second.
Keywords: Gibbons–Hermsen system; quiver varieties; noncommutative symplectic geometry; integrable systems. 
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Igor Mencattini; Alberto Tacchella. A Note on the Automorphism Group of the Bielawski–Pidstrygach Quiver. Symmetry, integrability and geometry: methods and applications, Tome 9 (2013). http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a36/

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