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4. Applications

  • Stefaan CaenepeelEmail author
  • Gigel Militaru
  • Shenglin Zhu
Chapter
  • 261 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1787)

Abstract

  • 4.1 Relative Hopf modules
    • Classical integrals

    • The Heisenberg double

    • Total integrals and relative separability

    • The Frobenius property

  • 4.2 Hopf-Galois extensions
    • Schneider’s affineness Theorems

    • Hopf-Galois extensions and separability properties

  • 4.3 Doi’s [H,C]-modules

  • 4.4 Yetter-Drinfeld modules
    • The Drinfeld double

    • Frobenius properties

  • 4.5 Long dimodules

  • 4.6 Modules graded by G-sets

  • 4.7 Two-sided entwined modules revisited
    • Compatible entwining structures

  • 4.8 Corings and descent theory
    • Effective descent morphisms

    • Galois type corings

    • Corings and comonads

Mathematics Subject Classification (2000):

primary 16W30 secondary 16D90 16W50 16B50 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2002

Authors and Affiliations

  • Stefaan Caenepeel
    • 1
    Email author
  • Gigel Militaru
    • 2
  • Shenglin Zhu
    • 3
  1. 1.Faculty of Applied SciencesVrije Universiteit BrüsselBrusselsBelgium
  2. 2.Faculty of MathematicsUniversity of BucharestBucharest 1Romania
  3. 3.Institute of MathematicsFudan UniversityShanghaiRepublic of China

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