Fundamental domains for finite subgroups in U(2) and configurations of lagrangians

Elisha Falbel, Julien Paupert

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We show that every finite subgroup of U(2) is contained with index two in a group generated by involutions fixing Lagrangian planes. We describe fundamental domains for their action on ℂ 2 related to the configuration of these Lagrangian planes.

Original languageEnglish (US)
Pages (from-to)221-238
Number of pages18
JournalGeometriae Dedicata
Volume109
Issue number1
DOIs
StatePublished - Dec 1 2004

Keywords

  • Finite groups
  • Fundamental domains
  • Lagrangians
  • Reflection groups

ASJC Scopus subject areas

  • Geometry and Topology

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