A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver
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| Creator |
Mencattini, I.
Tacchella, A. |
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| Description |
We show that there exists a morphism between a group Γalg 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 Cn,₂ of the Gibbons-Hermsen integrable system of rank 2, and we prove that the subgroup generated by the image of Γalg together with a particular tame symplectic automorphism has the property that, for every pair of points of the regular and semisimple locus of Cn,₂, the subgroup contains an element sending the first point to the second.
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| Date |
2019-02-19T18:28:22Z
2019-02-19T18:28:22Z 2013 |
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| Type |
Article
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| Identifier |
A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver / I. Mencattini, A. Tacchella // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 16 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37K10; 16G20; 14A22 DOI: http://dx.doi.org/10.3842/SIGMA.2013.037 http://dspace.nbuv.gov.ua/handle/123456789/149193 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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