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

M. M. Radhika; Sandip Singh

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arXiv · 2304.10269

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

M. M. Radhika·Sandip Singh

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Abstract

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

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BibTeX RIS

M. M. Radhika, Sandip Singh. 2023-04-20. Lattices in $\R^n\rtimes\SL_2(\R)$. https://arxiv.org/abs/2304.10269

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