Advanced Search
Article Contents
Article Contents

The structure theorems for Yetter-Drinfeld comodule algebras

Abstract Related Papers Cited by
  • In this paper, we first introduce the notion of a Yetter-Drinfeld comodule algebra and give examples. Then we give the structure theorems of Yetter-Drinfeld comodule algebras. That is, if $L$ is a Yetter-Drinfeld Hopf algebra and $A$ is a right $L$-Yetter-Drinfeld comodule algebra, then there exists an algebra isomorphism between $A$ and $A^{coL} \mathbin{\sharp} H$, where $A^{coL}$ is the coinvariant subalgebra of $A$.
    Mathematics Subject Classification: Primary: 16W30.


    \begin{equation} \\ \end{equation}
  • [1]

    L. B. Li and P. Zhang, Twisted Hopf algebras, Ringel-Hall algebras, and Green's categories, J. Algebra, 231 (2000), 713-743.doi: 10.1006/jabr.2000.8362.


    S. Montgomery, "Hopf Algebras and Their Actions on Rings," CBMS Regional Conference Series in Mathematics, 82, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1993.


    D. Radford, The structure of Hopf algebras with a projection, J. Algebra, 92 (1985), 322-347.doi: 10.1016/0021-8693(85)90124-3.


    Y. Doi, Hopf modules in Yetter-Drinfeld categories, Comm. Algebra, 26 (1998), 3057-3070.doi: 10.1080/00927879808826327.


    P. Schauenburg, Hopf modules and Yetter-Drinfel'd modules, J. Algebra, 169 (1994), 874-890.


    Y. Sommerhäuser, "Yetter-Drinfeld Hopf Algebras over Groups of Prime Order," Lecture Notes in Math, Vol. 1789, Springer, Berlin, 2002.

  • 加载中

Article Metrics

HTML views() PDF downloads(82) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint