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3. Frobenius and separable functors for entwined modules

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

Abstract

  • 3.1 Separable functors and Frobenius functors
    • Frobenius functors

    • Sepanable functors and Maschke’s Theorem

    • Relative injective and projective objects

    • Separable functors of the second kind

    • Fully faithful functors

  • 3.2 Restriction of scalars and the smash product
    • Application to the smash product

    • Application to Hopf algebras

    • Frobenius modules and \(\Lambda\)-separability

  • 3.3 The functor forgetting the C-coaction
    • Relative separability

  • 3.4 The functor forgetting the A-action

  • 3.5 The general induction functor
    • T-generators

    • Separability of F

    • Separability of the adjoint of the induction functor

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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