A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver
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-Herms...
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| Дата: | 2013 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149193 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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dspace |
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irk-123456789-1491932019-02-20T01:26:00Z A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver Mencattini, I. Tacchella, A. 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. 2013 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Mencattini, I. Tacchella, A. |
| spellingShingle |
Mencattini, I. Tacchella, A. A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Mencattini, I. Tacchella, A. |
| author_sort |
Mencattini, I. |
| title |
A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver |
| title_short |
A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver |
| title_full |
A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver |
| title_fullStr |
A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver |
| title_full_unstemmed |
A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver |
| title_sort |
note on the automorphism group of the bielawski-pidstrygach quiver |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149193 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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| first_indexed |
2023-05-20T17:32:12Z |
| last_indexed |
2023-05-20T17:32:12Z |
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