Geodesic
A Local-Global Principle for Symplectic $\mathrm K_2$
Documenta mathematica, Tome 23 (2018), pp. 653-675.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We prove that an element of the relative symplectic Steinberg group $g\in\mathrm{StSp}_{2n}(R[t],\,tR[t])$ is trivial if and only if its image under any maximal localisation homomorphism is trivial.
Classification : 19C09
Keywords: symplectic group, Steinberg group, algebraic $K$-theory, local-global principle 
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     author = {Lavrenov, Andrei},
     title = {A {Local-Global} {Principle} for {Symplectic} $\mathrm K_2$},
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     pages = {653--675},
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     volume = {23},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2018__23__a43/}
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Lavrenov, Andrei. A Local-Global Principle for Symplectic $\mathrm K_2$. Documenta mathematica, Tome 23 (2018), pp. 653-675. http://geodesic.mathdoc.fr/item/DOCMA_2018__23__a43/