Geodesic
Proper affine actions in non-swinging representations
Ilia Smilga1
1Yale University, New Haven, USA
Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 449-528

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DOI

For a semisimple real Lie group G with an irreducible representation ρ on a finite-dimensional real vector space V, we give a sufficient criterion on ρ for existence of a group of affine transformations of V whose linear part is Zariski-dense in ρ(G) and that is free, nonabelian and acts properly discontinuously on V.
DOI : 10.4171/ggd/447
Classification : 20-XX, 22-XX
Mots-clés : Discrete subgroups of Lie groups, affine groups, Auslander conjecture, Milnor conjecture, flat affine manifolds, Margulis invariant, quasi-translation, free group, Schottky group

Ilia Smilga  1

1 Yale University, New Haven, USA 
Ilia Smilga. Proper affine actions in non-swinging representations. Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 449-528. doi: 10.4171/ggd/447
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     title = {Proper affine actions in non-swinging representations},
     journal = {Groups, geometry, and dynamics},
     pages = {449--528},
     year = {2018},
     volume = {12},
     number = {2},
     doi = {10.4171/ggd/447},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/447/}
}
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