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an exercise from Artin Algebra

I wonder how to get a representation in $O_2$ since $dim(Lie(O_2))$=1? My other attempts all failed.

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    $\begingroup$ See here, homework $3$ (with solution). $\endgroup$
    – Dietrich Burde
    May 26, 2020 at 12:38
  • $\begingroup$ thank you, so its not $O_2\rightarrow O_2$ but $O_2\rightarrow O_1$ ? $\endgroup$
    – ysTuan
    May 26, 2020 at 12:52

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