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

Elisha Falbel; Julien Paupert

doi:10.1007/s10711-004-2455-2

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

Elisha Falbel, Julien Paupert

Research output: Contribution to journal › Article › peer-review

11 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 language	English (US)
Pages (from-to)	221-238
Number of pages	18
Journal	Geometriae Dedicata
Volume	109
Issue number	1
DOIs	https://doi.org/10.1007/s10711-004-2455-2
State	Published - Dec 2004
Externally published	Yes

Keywords

Finite groups
Fundamental domains
Lagrangians
Reflection groups

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s10711-004-2455-2

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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.",

keywords = "Finite groups, Fundamental domains, Lagrangians, Reflection groups",

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AU - Paupert, Julien

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KW - Fundamental domains

KW - Lagrangians

KW - Reflection groups

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

Abstract

Keywords

ASJC Scopus subject areas

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