A Local-Global Principle for Symplectic $\mathrm K_2$

Andrei Lavrenov

doi:10.4171/dm/629

JournalsdmVol. 23pp. 653–675

A Local-Global Principle for Symplectic $K_{2}$

Andrei Lavrenov

$A Local-Global Principle for Symplectic $\mathrm K_2$ cover$

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Abstract

We prove that an element of the relative symplectic Steinberg group $g \in StSp_{2 n} (R [t], tR [t])$ is trivial if and only if its image under any maximal localisation homomorphism is trivial.

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Andrei Lavrenov, A Local-Global Principle for Symplectic $K_{2}$ . Doc. Math. 23 (2018), pp. 653–675

DOI 10.4171/DM/629