Projectivity of a relative Hopf module over the subring of coinvariants

S. Caenepeel; T. Guédeénon

Projectivity of a relative Hopf module over the subring of coinvariants

Quantum Algebra 2007-05-23 v1 Rings and Algebras

Authors: S. Caenepeel , T. Guédeénon

Abstract

Let $k$ be a commutative ring, $H$ a faithfully flat Hopf algebra with bijective antipode, $A$ a $k$ -flat right $H$ -comodule algebra. We investigate when a relative Hopf module is projective over the subring of coinvariants $B=A^{{\rm co}H}$ , and we study the semisimplicity of the category of relative Hopf modules.

Keywords

relative hopf module coinvariants hopf algebra comodule algebra semisimplicity

Cite

@article{arxiv.math/0210288,
  title  = {Projectivity of a relative Hopf module over the subring of coinvariants},
  author = {S. Caenepeel and T. Guédeénon},
  journal= {arXiv preprint arXiv:math/0210288},
  year   = {2007}
}

Comments

15 pages

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