三角$\vee$ -系统与WDVV方程的解
Trigonometric $\vee$-systems and solutions of WDVV equations
摘要：
本文考虑一类由重数向量集决定的WDVV方程的三角解。我们表明，这样的解决方案可以限制到特殊的子空间，以产生新的解决方案的相同类型。我们找到了新的解决方案的限制根系，以及不属于这种形式的例子。此外，我们考虑三角$\vee$系统的密切相关概念，并证明它们的子系统也是三角$\vee$系统。最后，在审查根系的情况下，我们确定一个版本的（广义）Coxeter数的外平方的反射表示的Weyl群。
英文摘要：
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.
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