Symmetries in Connection Preserving Deformations

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...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2011
Автор: Ormerod, C.M.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2011
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/147174
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Symmetries in Connection Preserving Deformations / C.. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 29 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-147174
record_format dspace
spelling irk-123456789-1471742019-02-14T01:25:53Z Symmetries in Connection Preserving Deformations Ormerod, C.M. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147174 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 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.
format Article
author Ormerod, C.M.
spellingShingle Ormerod, C.M.
Symmetries in Connection Preserving Deformations
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Ormerod, C.M.
author_sort Ormerod, C.M.
title Symmetries in Connection Preserving Deformations
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
publisher Інститут математики НАН України
publishDate 2011
url http://dspace.nbuv.gov.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.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT ormerodcm symmetriesinconnectionpreservingdeformations
first_indexed 2023-05-20T17:26:47Z
last_indexed 2023-05-20T17:26:47Z
_version_ 1796153300773502976

Схожі ресурси