论文标题
来自花圈产品家族的代表的组合Hopf代数
Combinatorial Hopf algebras from representations of families of wreath products
论文作者
论文摘要
我们通过将Zelevinsky的定理概括为花圈产品表示的Hopf代数来构建Hopf代数的代数。作为应用程序，我们将对称函数附加到图形自动形态组的表示形式，从而推广和完善斯坦利的色度对称函数。
We construct Hopf algebras whose elements are representations of combinatorial automorphism groups, by generalising a theorem of Zelevinsky on Hopf algebras of representations of wreath products. As an application we attach symmetric functions to representations of graph automorphism groups, generalising and refining Stanley's chromatic symmetric function.
