| $G$-Cleft Extension of Semilattice Graded Weak Hopf Algebra |
| Received:July 10, 2014 Revised:January 16, 2015 |
| Key Words:
semilattice graded weak Hopf algebra $G$-crossed product $H$-$G$-cleft extension
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| Fund Project:Supported by the Project of Shandong Province Higher Educational Science and Technology Program (Grant No.J14LI57), the Scientific Research Foundation of Shandong Jiaotong University (Grant No.Z201428) and Research Fund for the Doctoral Program of Shandong Jiaotong Uinversity. |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2015.04.002 |
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