$G$-交叉积在$G$-inner作用下的等价刻画

$G$-Inner Actions Equivalence of $G$-Crossed Products

中文关键词:  半格分次弱Hopf代数  $G$-交叉积  $G$-inner 作用

英文关键词:semilattice graded weak Hopf algebra  $G$-crossed product  $G$-inner actions

中文摘要:

      本文给出两个具有相同半格$Y$ 的半格分次弱Hopf代数的$G$-inner 作用的定义, 然后给出两个$G$-交叉积同构的充分必要条件.

英文摘要:

      We give the definition of $G$-inner action of two semilattice graded weak Hopf algebras with the same semilattice $Y$, and the necessary and sufficient conditions for two $G$-crossed products to be isomorphic.