Projectivity of a relative Hopf module over the subring of coinvariants

Details Projectivity of a relative Hopf module over the subring of coinvariants Projectivity of a relative Hopf module over the subring of coinvariants

2002-10-18

arxiv.org/abs/math/0210288v1

Mathematics

Quantum Algebra

15 pages

Scientific paper

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.

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