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THE KILLING FORM OF A HOPF ALGEBRA AND ITS RADICAL†

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  • معلومة اضافية
    • Contributors:
      The Pennsylvania State University CiteSeerX Archives
    • الموضوع:
      2008
    • Collection:
      CiteSeerX
    • نبذة مختصرة :
      In this paper, we define the Killing form for any finite dimensional Hopf algebras over a field k of characteristic 0, and investigate its fundamental properties. Then we discuss the radical of the Killing form of some Hopf algebras, and give a criterion for a group algebra admitting non-degenerate Killing form. Finally, we prove that the Killing form of a Hopf algebra is invariant under twisting, providing a way to construct new Hopf algebras with non-degenerate Killing form by twisting some groups. MSC (2000): 16W30, 20C30
    • File Description:
      application/pdf
    • Relation:
      http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.532.2244; http://ajse.kfupm.edu.sa/articles/332C_P.34.pdf
    • الدخول الالكتروني :
      http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.532.2244
      http://ajse.kfupm.edu.sa/articles/332C_P.34.pdf
    • Rights:
      Metadata may be used without restrictions as long as the oai identifier remains attached to it.
    • الرقم المعرف:
      edsbas.510840EC