Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On Quadrirational Yang-Baxter Maps
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
On Quadrirational Yang-Baxter Maps
Інший ID:
2010 Mathematics Subject Classification: 14E07; 14H70; 37K20
DOI:10.3842/SIGMA.2010.033
DOI:10.3842/SIGMA.2010.033
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the Workshop “Geometric Aspects of Discrete and UltraDiscrete Integrable Systems” (March 30 – April 3, 2009, University of Glasgow, UK). The full collection is available at http://www.emis.de/journals/SIGMA/GADUDIS2009.html.
This work had been started in May 2007, when one of the authors (APV) visited Patras within the Erasmus-Socrates exchange programme, and completed at the Isaac Newton Institute for Mathematical Sciences in Cambridge during the programme on Discrete Integrable Systems in the spring semester 2009. The work of APV was also partially supported by the European RTN ENIGMA (contract MRTN-CT-2004-5652) and EPSRC (grant EP/E004008/1). We are grateful to V. Adler for useful comments.
Дата:
2010
Переглядів:
478
Завантажень:
257
Анотація:
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.
