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

页码：25 / 48

页数：24

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