An affine Cayley-Hamilton Hopf algebra has the Chevalley property if and only if its identity fiber algebra does and all its discriminant ideals are trivial, with the lowest discriminant subvariety forming a closed subgroup.
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Chevalley property of module-finite Hopf algebras and discriminant ideals
An affine Cayley-Hamilton Hopf algebra has the Chevalley property if and only if its identity fiber algebra does and all its discriminant ideals are trivial, with the lowest discriminant subvariety forming a closed subgroup.