Coxeter's frieze patterns and discretization of the Virasoro orbit

Valentin Ovsienko, Serge Tabachnikov

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We show that the space of classical Coxeter's frieze patterns can be viewed as a discrete version of a coadjoint orbit of the Virasoro algebra. The canonical (cluster) (pre)symplectic form on the space of frieze patterns is a discretization of Kirillov's symplectic form. We relate a continuous version of frieze patterns to conformal metrics of constant curvature in dimension 2.

Original languageEnglish (US)
Pages (from-to)373-381
Number of pages9
JournalJournal of Geometry and Physics
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology


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