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Totally elliptic surface group representations.

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Τίτλος: Totally elliptic surface group representations.
Συγγραφείς: Maret, Arnaud1 (AUTHOR) maret.arnaud@unistra.fr
Πηγή: Bulletin of the London Mathematical Society. Aug2026, Vol. 58 Issue 8, p1-16. 16p.
Θεματικοί όροι: *Representations of groups (Algebra), *Lie groups, *Compact groups
Περίληψη: A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are either representations into a compact subgroup or Deroin–Tholozan representations. [ABSTRACT FROM AUTHOR]
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  Data: Totally elliptic surface group representations.
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  Data: <searchLink fieldCode="AR" term="%22Maret%2C+Arnaud%22">Maret, Arnaud</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> maret.arnaud@unistra.fr</i>
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  Data: <searchLink fieldCode="JN" term="%22Bulletin+of+the+London+Mathematical+Society%22">Bulletin of the London Mathematical Society</searchLink>. Aug2026, Vol. 58 Issue 8, p1-16. 16p.
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  Data: *<searchLink fieldCode="DE" term="%22Representations+of+groups+%28Algebra%29%22">Representations of groups (Algebra)</searchLink><br />*<searchLink fieldCode="DE" term="%22Lie+groups%22">Lie groups</searchLink><br />*<searchLink fieldCode="DE" term="%22Compact+groups%22">Compact groups</searchLink>
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  Data: A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are either representations into a compact subgroup or Deroin–Tholozan representations. [ABSTRACT FROM AUTHOR]
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  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1112/blms.70455
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 16
        StartPage: 1
    Subjects:
      – SubjectFull: Representations of groups (Algebra)
        Type: general
      – SubjectFull: Lie groups
        Type: general
      – SubjectFull: Compact groups
        Type: general
    Titles:
      – TitleFull: Totally elliptic surface group representations.
        Type: main
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            NameFull: Maret, Arnaud
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          Dates:
            – D: 01
              M: 08
              Text: Aug2026
              Type: published
              Y: 2026
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              Value: 58
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              Value: 8
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            – TitleFull: Bulletin of the London Mathematical Society
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