半格分次弱Hopf代数的$G$-Cleft扩张

$G$-Cleft Extension of Semilattice Graded Weak Hopf Algebra

中文关键词:  半格分次弱Hopf代数  $G$-交叉积  $H$-$G$-cleft 扩张

英文关键词:semilattice graded weak Hopf algebra  $G$-crossed product  $H$-$G$-cleft extension

中文摘要:

      本文首先将Clifford幺半群代数分解为交叉积的半格直和,然后将这个结果通过$H$-$G$-cleft扩张推广到所谓的$G$-交叉积上.

英文摘要:

      We give the decomposition of a Clifford monoid algebra into the semilattice direct sum of crossed products, and generalize the crossed-product result to a $G$-crossed product with an $H$-$G$-cleft extension.