| Autor: |
Igor Mencattini, Alberto Tacchella |
| Jazyk: |
angličtina |
| Rok vydání: |
2013 |
| Předmět: |
|
| Zdroj: |
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 037 (2013) |
| Druh dokumentu: |
article |
| ISSN: |
1815-0659 |
| DOI: |
10.3842/SIGMA.2013.037 |
| Popis: |
We show that there exists a morphism between a group Γ^{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 C_{n,2} of the Gibbons-Hermsen integrable system of rank 2, and we prove that the subgroup generated by the image of Γ^{alg} together with a particular tame symplectic automorphism has the property that, for every pair of points of the regular and semisimple locus of C_{n,2}, the subgroup contains an element sending the first point to the second. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
