Symmetries in Connection Preserving Deformations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• ISSN: 1815-0659
• Main Author: Ormerod, C.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147174
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Symmetries in Connection Preserving Deformations / C.. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 29 назв. — англ.

We wish to show that the root lattice of Bäcklund transformations of the q-analogue of the third and fourth Painlevé equations, which is of type (A₂+A₁)⁽¹⁾, may be expressed as a quotient of the lattice of connection preserving deformations. Furthermore, we will show various directions in the lattic...