A Geometric Approach to the Frobenius Unicity Conjecture for the Markoff Equation

被引：0
|
作者：
Tornero, Jose M. [1 ]
机构：
[1] Univ Seville, Fac Matemat, Dept Algebra, E-41080 Seville, Spain
来源：
JOURNAL OF LIE THEORY | 2008年 / 18卷 / 03期
关键词：
Markoff equation; Frobenius unicity conjecture; integral points; hyperbolic Kac-Moody algebras; imaginary roots;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The long-standing Frobenius conjecture on the unicity of ordered solutions for the Markoff equation is translated in a very simple way into an arithmetic statement on the existence of integral points on certain hyperbolas. Some previous work of Kang and Melville can then be used for relating the problem to a statement concerning rank 2 symmetric hyperbolic Kac-Moody algebras.
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页码：595 / 600
页数：6
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