ALGEBRO-GEOMETRIC APPROACH TO THE YANG-BAXTER EQUATION AND RELATED TOPICS

被引：3
|
作者：
Dragovic, Vladimir [1 ,2 ]
机构：
[1] Math Inst SANU, Belgrade 11000, Serbia
[2] Univ Lisbon, Math Phys Grp, P-1699 Lisbon, Portugal
来源：
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2012年 / 91卷 / 105期
关键词：
D O I：
10.2298/PIM1205025D
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We review the results of algebro-geometric approach to 4 x 4 solutions of the Yang-Baxter equation. We emphasis some further geometric properties, connected with the double-reflection theorem, the Poncelet porism and the Euler-Chasles correspondence. We present a list of classifications in Mathematical Physics with a similar geometric background, related to pencils of conics. In the conclusion, we introduce a notion of discriminantly factorizable polynomials as a result of a computational experiment with elementary n-valued groups.
引用
收藏
页码：25 / 48
页数：24
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