Non-discrete hybrids in SU(2, 1)

Julien Paupert

doi:10.1007/s10711-011-9609-9

Non-discrete hybrids in SU(2, 1)

Julien Paupert

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

3 Scopus citations

Abstract

We show that a natural hybridation construction of lattices in SU(n, 1) to produce (non-arithmetic) lattices in SU(n + 1, 1) fails when n = 1 for most triangle groups in SU(1, 1).

Original language	English (US)
Pages (from-to)	259-268
Number of pages	10
Journal	Geometriae Dedicata
Volume	157
Issue number	1
DOIs	https://doi.org/10.1007/s10711-011-9609-9
State	Published - Apr 2012
Externally published	Yes

Keywords

Complex hyperbolic geometry
Fuchsian triangle groups
Hybridation of lattices
Non-arithmetic lattices

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s10711-011-9609-9

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title = "Non-discrete hybrids in SU(2, 1)",

abstract = "We show that a natural hybridation construction of lattices in SU(n, 1) to produce (non-arithmetic) lattices in SU(n + 1, 1) fails when n = 1 for most triangle groups in SU(1, 1).",

keywords = "Complex hyperbolic geometry, Fuchsian triangle groups, Hybridation of lattices, Non-arithmetic lattices",

author = "Julien Paupert",

note = "Funding Information: Acknowledgments Author supported by SNF grant 200020-121506/1 and NSF grant DMS 1007340. The author would like to thank John Parker and James Thompson for pointing out mistakes in a previous version of this paper.",

year = "2012",

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doi = "10.1007/s10711-011-9609-9",

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AU - Paupert, Julien

N1 - Funding Information: Acknowledgments Author supported by SNF grant 200020-121506/1 and NSF grant DMS 1007340. The author would like to thank John Parker and James Thompson for pointing out mistakes in a previous version of this paper.

PY - 2012/4

Y1 - 2012/4

N2 - We show that a natural hybridation construction of lattices in SU(n, 1) to produce (non-arithmetic) lattices in SU(n + 1, 1) fails when n = 1 for most triangle groups in SU(1, 1).

AB - We show that a natural hybridation construction of lattices in SU(n, 1) to produce (non-arithmetic) lattices in SU(n + 1, 1) fails when n = 1 for most triangle groups in SU(1, 1).

KW - Complex hyperbolic geometry

KW - Fuchsian triangle groups

KW - Hybridation of lattices

KW - Non-arithmetic lattices

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Non-discrete hybrids in SU(2, 1)

Abstract

Keywords

ASJC Scopus subject areas

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