On Quadrirational Yang-Baxter Maps
We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter map...
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| Дата: | 2010 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146351 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Quadrirational Yang-Baxter Maps / V.G. Papageorgiou, Yu.B. Suris, A.G. Tongas, A.P. Veselov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146351 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1463512019-02-10T01:23:48Z On Quadrirational Yang-Baxter Maps Papageorgiou, V.G. Suris, Yu.B. Tongas, A.G. Veselov, A.P. We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter maps corresponding to the geometric symmetries of pencils of quadrics. 2010 Article On Quadrirational Yang-Baxter Maps / V.G. Papageorgiou, Yu.B. Suris, A.G. Tongas, A.P. Veselov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14E07; 14H70; 37K20 DOI:10.3842/SIGMA.2010.033 http://dspace.nbuv.gov.ua/handle/123456789/146351 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 use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter maps corresponding to the geometric symmetries of pencils of quadrics. |
| format |
Article |
| author |
Papageorgiou, V.G. Suris, Yu.B. Tongas, A.G. Veselov, A.P. |
| spellingShingle |
Papageorgiou, V.G. Suris, Yu.B. Tongas, A.G. Veselov, A.P. On Quadrirational Yang-Baxter Maps Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Papageorgiou, V.G. Suris, Yu.B. Tongas, A.G. Veselov, A.P. |
| author_sort |
Papageorgiou, V.G. |
| title |
On Quadrirational Yang-Baxter Maps |
| title_short |
On Quadrirational Yang-Baxter Maps |
| title_full |
On Quadrirational Yang-Baxter Maps |
| title_fullStr |
On Quadrirational Yang-Baxter Maps |
| title_full_unstemmed |
On Quadrirational Yang-Baxter Maps |
| title_sort |
on quadrirational yang-baxter maps |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146351 |
| citation_txt |
On Quadrirational Yang-Baxter Maps / V.G. Papageorgiou, Yu.B. Suris, A.G. Tongas, A.P. Veselov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT papageorgiouvg onquadrirationalyangbaxtermaps AT surisyub onquadrirationalyangbaxtermaps AT tongasag onquadrirationalyangbaxtermaps AT veselovap onquadrirationalyangbaxtermaps |
| first_indexed |
2023-05-20T17:24:07Z |
| last_indexed |
2023-05-20T17:24:07Z |
| _version_ |
1796153216617938944 |