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Let P be the group of upper triangular matrices in SL2(R). The injection η : P → GL2(C) can be viewed as a representation on V = C2. Show that η is not the sum of irreducible representations.

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  • $\begingroup$ Please show your work. $\endgroup$ – Lukas Kofler May 6 at 21:52
  • $\begingroup$ I look forward to telling others their comments $\endgroup$ – salome saberi May 7 at 22:42

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