For abelian restricted Lie algebras, Property PA, Green-ring invariance at noble support points, holds exactly in tame and small-finite cases and fails in wild cases, matching representation type up to a conjecture.
Certain representation algebras
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Families of Green rings for abelian restricted Lie algebras
For abelian restricted Lie algebras, Property PA, Green-ring invariance at noble support points, holds exactly in tame and small-finite cases and fails in wild cases, matching representation type up to a conjecture.