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Cosheaves of Steinberg pro-groups

math.GR · 2023-05-29 · unverdicted · novelty 6.0

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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Showing 2 of 2 citing papers.

  • Locally isotropic Steinberg groups I. Centrality of the $\mathrm K_2$-functor math.RT · 2024-10-17 · unverdicted · none · ref 18

    Constructs Steinberg group functors for locally isotropic reductive groups over rings and proves centrality of the K2-functor.

  • Cosheaves of Steinberg pro-groups math.GR · 2023-05-29 · unverdicted · none · ref 16

    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.