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We determine the existence of cocompact lattices in groups of the form$\V\rtimes\SL_2(\R)$, where $\V$ is a real representation of $\SL_2(\R)$. Itturns out that the answer depends on the parity of dim $\V$ when therepresentation is irreducible.

Lattices in $\R^n\rtimes\SL_2(\R)$