论文标题
通过形态学对绿色双方函子的基本支持
Essential support of Green biset functors via morphisms
论文作者
论文摘要
我们提出了一个非常自然但有用的标准，可以通过形态学来检测绿色双子函数$ a $的基本代数的消失。我们介绍了形态$ inf：a \ rightarrow a_g $和$ res：a_g \ rightarrow a $，以证明基本代数不消失的组对于$ a $和任何移动的函数$ a_g $。我们使用$ res $的内核来对简单$ a_g $模型的种子进行表征，这些种子不是简单$ a $ a-modules的回调。
We present a very natural but yet useful criterion to detect vanishing of essential algebras of a Green biset functor $A$ by means of morphisms. We introduce the morphisms $Inf:A \rightarrow A_G$ and $Res:A_G\rightarrow A$ to prove that the class of groups for which the essential algebras do not vanish is the same for $A$ and any shifted functor $A_G$. We use the kernel of $Res$ to give a characterization of the seeds of simple $A_G$-modules which are not obtained as pullback of simple $A$-modules.
