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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Constructs twisted forms of classical reductive group schemes from augmented odd form algebras and shows classical isotropic reductive groups are odd unitary groups up to isogeny, excluding small-rank cases.
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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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Twisted forms of classical groups
Constructs twisted forms of classical reductive group schemes from augmented odd form algebras and shows classical isotropic reductive groups are odd unitary groups up to isogeny, excluding small-rank cases.