Non-discrete hybrids in \(\mathrm{SU}(2,1)\) (Q2429486)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-discrete hybrids in \(\mathrm{SU}(2,1)\) |
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Non-discrete hybrids in \(\mathrm{SU}(2,1)\) (English)
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27 April 2012
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The author shows 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\((1, 1)\). This result indicates that the approach by Hunt of constructing complex hyperbolic lattices fails for \(n=2\).
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non-arithmetic lattices
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complex hyperbolic geometry
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Fuchsian triangle groups
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hybridation of lattices
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