论文标题
尖头编织的Hopf代数的分解定理
A decomposition Theorem for pointed braided Hopf algebras
论文作者
论文摘要
对编织的尖头HOPF代数的已知基本定理指出，对于每个固定子代数，符合一些属性，都有一个相关的商煤层右模块，因此可以将编织的Hopf代数分解为这两者的张量产品。通常，人们认为在普通的Hopf代数的YeTer-Drinfeld类别中编织的Hopf代数。在这种情况下，编织的Hopf代数尤其是一个综合物，以及许多有趣的螺旋坐骨亚词架。我们通过证明分解与该共生结构兼容，如果基本的普通HOPF代数是cosemisimple，则扩展了上述定理。
A known fundamental Theorem for braided pointed Hopf algebras states that for each coideal subalgebra, that fulfils a few properties, there is an associated quotient coalgebra right module such that the braided Hopf algebra can be decomposed into a tensor product of these two. Often one considers braided Hopf algebras in a Yetter-Drinfeld category of an ordinary Hopf algebra. In this case the braided Hopf algebra is in particular a comodule, as well as many interesting coideal subalgebras. We extend the mentioned Theorem by proving that the decomposition is compatible with this comodule structure if the underlying ordinary Hopf algebra is cosemisimple.
