Symmetries in Connection Preserving Deformations
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147174 |
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| Cite this: | Symmetries in Connection Preserving Deformations / C.. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 29 назв. — англ. |
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Ormerod, C.M. 2019-02-13T18:11:32Z 2019-02-13T18:11:32Z 2011 Symmetries in Connection Preserving Deformations / C.. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 29 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 34M55; 39A13 DOI:10.3842/SIGMA.2011.049 https://nasplib.isofts.kiev.ua/handle/123456789/147174 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 lattice of connection preserving deformations present equivalent evolution equations under suitable transformations. These transformations correspond to the Dynkin diagram automorphisms. This paper is a contribution to the Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria). The full collection is available at http://www.emis.de/journals/SIGMA/SIDE-9.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Symmetries in Connection Preserving Deformations Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Symmetries in Connection Preserving Deformations |
| spellingShingle |
Symmetries in Connection Preserving Deformations Ormerod, C.M. |
| title_short |
Symmetries in Connection Preserving Deformations |
| title_full |
Symmetries in Connection Preserving Deformations |
| title_fullStr |
Symmetries in Connection Preserving Deformations |
| title_full_unstemmed |
Symmetries in Connection Preserving Deformations |
| title_sort |
symmetries in connection preserving deformations |
| author |
Ormerod, C.M. |
| author_facet |
Ormerod, C.M. |
| publishDate |
2011 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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 lattice of connection preserving deformations present equivalent evolution equations under suitable transformations. These transformations correspond to the Dynkin diagram automorphisms.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147174 |
| citation_txt |
Symmetries in Connection Preserving Deformations / C.. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 29 назв. — англ. |
| work_keys_str_mv |
AT ormerodcm symmetriesinconnectionpreservingdeformations |
| first_indexed |
2025-12-07T19:07:42Z |
| last_indexed |
2025-12-07T19:07:42Z |
| _version_ |
1850877634284617728 |