Λεπτομέρειες βιβλιογραφικής εγγραφής
| 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] |
| Βάση Δεδομένων: |
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