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Superrigid subgroups and syndetic hulls in solvable Lie groups | | Dave Witte
; | | Date: |
5 Feb 2001 | | Subject: | Representation Theory; Group Theory MSC-class: 22E40 (Primary); 22E25 (Secondary) | math.RT math.GR | | Abstract: | This is an expository paper. It is not difficult to see that every group homomorphism from the additive group Z of integers to the additive group R of real numbers extends to a homomorphism from R to R. We discuss other examples of discrete subgroups D of connected Lie groups G, such that the homomorphisms defined on D can ("virtually") be extended to homomorphisms defined on all of G. For the case where G is solvable, we give a simple proof that D has this property if it is Zariski dense. The key ingredient is a result on the existence of syndetic hulls. | | Source: | arXiv, math.RT/0102034 | | Services: | Forum | Review | PDF | Favorites | |
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