Internal actions in semi-abelian categories of pro-groups and non-unital pro-rings are described explicitly via actions of group/ring objects in Pro(Set), with the analogous statement shown to fail for Lie algebras.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Constructs elementary subgroups of all reductive groups of local isotropic rank ≥2 over rings and proves their properties, applicable to automorphism groups of projective modules of rank ≥3 at every prime.
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Locally isotropic elementary groups
Constructs elementary subgroups of all reductive groups of local isotropic rank ≥2 over rings and proves their properties, applicable to automorphism groups of projective modules of rank ≥3 at every prime.