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Totally elliptic surface group representations

math.RT · 2024-11-29 · conditional · novelty 7.0

Every reduced totally elliptic surface group representation into PSL(2,R) is either orthogonal or Deroin-Tholozan; for PSL(2,C), irreducible ones are unitary or Deroin-Tholozan, with reducible genus-zero exceptions.

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  • Totally elliptic surface group representations math.RT · 2024-11-29 · conditional · none · ref 8

    Every reduced totally elliptic surface group representation into PSL(2,R) is either orthogonal or Deroin-Tholozan; for PSL(2,C), irreducible ones are unitary or Deroin-Tholozan, with reducible genus-zero exceptions.