Hopf $\pi$-Crossed Biproduct and Related Coquasitriangular Structures
Hopf $\pi$-Crossed Biproduct and Related Coquasitriangular Structures
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DOI：
10.4171/rsmup/130-3
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发表时间：
2013-12
期刊：
影响因子：
--
通讯作者：
Tianshui Ma;Yanan Song
中科院分区：
文献类型：
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作者：
Tianshui Ma;Yanan Song
设p是群，H∈（fHag;D; e; S）是一个Hopf p-余代数（不一定结合），a 2 p.设A是一个代数和一个余代数.本文给出了p-交叉积A#sH具有适当的余乘和余乘的充要条件。此外，还给出了Hopf p-交叉积A\sH是余拟三角Hopf p-余代数的充要条件.在这种情况下，A\sH上左p-余模的范畴A\psHM是一个辫幺半群范畴。02 The Dog（2010）16T05 16T10
Let p be a group and H (fHag;D; e; S) a Hopf p-coalgebra (not necessarily associative), a 2 p. Let A be an algebra and a coalgebra. We find the necessary and sufficient conditions on the p-crossed product A#sH with suitable comultiplication and counit to be a Hopf p-coalgebra. Moreover, the necessary and sufficient conditions for a Hopf p-crossed product A\sH to be a coquasitriangular Hopf p-coalgebra are given. In this case the category A\ p sHM of the left p-comodules over A\sH is a braided monoidal category. MATHEMATICS SUBJECT CLASSIFICATION (2010). 16T05, 16T10.