论文标题
Weyl Glopoids和Superalgebraic集合
Weyl groupoids and superalgebraic sets
论文作者
论文摘要
本文是对与\ cite {m22}启动的weyl族的几何形状的研究的贡献。零史塔兹（Nullstellensatz）在这种代数的根部理想与它们的零基因座（超级别集合）之间进行了两次射击。这样的集合正是在合适的群体的作用下不变的（Zariski）封闭式集合，并且可以明确描述包含给定封闭组的最小超级式式套件。在这里，我们给出了几个超级典型集的示例。我们还给出了劳伦斯超对称多项式的几种特征。这些适合于结合文献中可能找到的$ j（g）$的代数之一的几个定义。
This paper is a contribution to the study of the geometry of algebras related the Weyl groupoid initiated in \cite{M22}. The Nullstellensatz gives a bijection between radical ideals of such an algebra and their zero loci, the superalgebraic sets. Such sets are exactly the (Zariski) closed sets that are invariant under the action of a suitable groupoid, and the smallest superalgebraic set containing a given closed set can be described explicitly. Here we give several examples of superalgebraic sets. We also give several characterizations of Laurent supersymmetric polynomials. These adapt to unite several definitions of one of the algebras of interest, $J(G)$ that may be found in the literature.
