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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver

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Mencattini, Igor [1] ; Tacchella, Alberto [1]
Total Authors: 2
[1] Univ Sao Paulo, ICMC, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Symmetry Integrability and Geometry-Methods and Applications; v. 9, 2013.
Web of Science Citations: 1

We show that there exists a morphism between a group Gamma(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,C-2 of the Gibbons-Hermsen integrable system of rank 2, and we prove that the subgroup generated by the image of Gamma(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,C-2, the subgroup contains an element sending the first point to the second. (AU)

FAPESP's process: 11/09782-6 - Gibbons-Hermsen varieties and noncommutative geometry
Grantee:Alberto Tacchella
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 10/19201-8 - Calogero-Moser spaces
Grantee:Igor Mencattini
Support Opportunities: Regular Research Grants