Groups with BC_ℓ root subgroups obeying natural commutator relations are homomorphic images of odd unitary Steinberg groups over odd form rings with Peirce decompositions.
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4 Pith papers cite this work. Polarity classification is still indexing.
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Classifies all varieties of algebraic structures for root-graded groups over irreducible root systems of rank ≥3 (excluding H3,H4) and constructs the corresponding groups from them.
Steinberg pro-groups for GL, odd unitary, and Chevalley groups satisfy the Zariski cosheaf property as crossed pro-modules, with an analogue of commutator formulas and an action of base groups over localized rings.
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.
citing papers explorer
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Groups with $\mathsf{BC}_\ell$-commutator relations
Groups with BC_ℓ root subgroups obeying natural commutator relations are homomorphic images of odd unitary Steinberg groups over odd form rings with Peirce decompositions.
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Root graded groups revisited
Classifies all varieties of algebraic structures for root-graded groups over irreducible root systems of rank ≥3 (excluding H3,H4) and constructs the corresponding groups from them.
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Cosheaves of Steinberg pro-groups
Steinberg pro-groups for GL, odd unitary, and Chevalley groups satisfy the Zariski cosheaf property as crossed pro-modules, with an analogue of commutator formulas and an action of base groups over localized rings.
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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.