论文标题
三角$ \ vee $ - 系统和WDVV方程的解决方案
Trigonometric $\vee$-systems and solutions of WDVV equations
论文作者
论文摘要
我们考虑通过收集多重性的向量确定的WDVV方程的一类三角解决方案。我们表明，此类解决方案可以局限于特殊子空间，以生成相同类型的新解决方案。我们发现了由根系的限制以及该形式的示例提供的新解决方案。此外，我们考虑了三角$ \ vee $ - 系统的密切相关的概念，我们表明他们的子系统也是三角$ \ vee $ - 系统。最后，在审查根系案例的同时，我们确定了Weyl组反射表示外部平方的（广义）Coxeter编号。
We consider a class of trigonometric solutions of WDVV equations determined by collections of vectors with multiplicities. We show that such solutions can be restricted to special subspaces to produce new solutions of the same type. We find new solutions given by restrictions of root systems, as well as examples which are not of this form. Further, we consider a closely related notion of a trigonometric $\vee$-system and we show that their subsystems are also trigonometric $\vee$-systems. Finally, while reviewing the root system case we determine a version of (generalised) Coxeter number for the exterior square of the reflection representation of a Weyl group.
