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Boundary compactifications of SL(2, ℝ) and SL(2, ℂ)
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Alessandra Iozzi
Veröffentlicht/Copyright:
26. August 2008
Abstract
We construct a class of normal projective embeddings of PSL(2, k), for k = ℝ and ℂ, which we call boundary compactifications of SL(2, k). These arise essentially as the Zariski closures of orbits in 
under the diagonal action of SL(2, k). In addition, we determine precisely when our examples can be SL(2, k)-homeomorphic, showing that the resulting deformation space is a countable union of positive-dimensional families.
Received: 1998-02-27
Revised: 1998-03-20
Accepted: 1998-03-24
Published Online: 2008-08-26
Published in Print: 1999-May
© de Gruyter 1999
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Artikel in diesem Heft
- Simple automorphism groups of cycle-free partial orders
- Beurling generalized integers with the Delone Property
- Indefinite quadratic forms and Eisenstein series
- Lax embeddings of polar spaces in finite projective spaces
- Disjoint unions of complex affine subspaces interpolating for Ap
- Boundary compactifications of SL(2, ℝ) and SL(2, ℂ)
Artikel in diesem Heft
- Simple automorphism groups of cycle-free partial orders
- Beurling generalized integers with the Delone Property
- Indefinite quadratic forms and Eisenstein series
- Lax embeddings of polar spaces in finite projective spaces
- Disjoint unions of complex affine subspaces interpolating for Ap
- Boundary compactifications of SL(2, ℝ) and SL(2, ℂ)
