A Local-Global Principle for Symplectic $\mathrm K_2$
Documenta mathematica, Tome 23 (2018), pp. 653-675
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We prove that an element of the relative symplectic Steinberg group g∈StSp2n​(R[t],tR[t]) is trivial if and only if its image under any maximal localisation homomorphism is trivial.
DOI : 10.4171/dm/629
Classification : 19C09
Mots-clés : local-global principle, algebraic K-theory, Steinberg group, symplectic group
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     author = {Andrei Lavrenov},
     title = {A {Local-Global} {Principle} for {Symplectic} $\mathrm K_2$},
     journal = {Documenta mathematica},
     pages = {653--675},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/629},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/629/}
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Andrei Lavrenov. A Local-Global Principle for Symplectic $\mathrm K_2$. Documenta mathematica, Tome 23 (2018), pp. 653-675. doi: 10.4171/dm/629

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