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arXiv · 1104.4542

Images of Real Representations of $SL_n(Z_p)$

Talia Fernos·Pooja Singla
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Abstract

In this paper, we investigate abstract homomorphism from the special linear group over complete discrete valuation rings with finite residue field, such as the ring of p-adic integers, into the general linear group over the reals. We find the minimal dimension in which such a representation has infinite image. For positive characteristic rings, this minimum is infinity.

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Talia Fernos, Pooja Singla. 2016-08-13. Images of Real Representations of $SL_n(Z_p)$. https://doi.org/10.1017/s001708951500018x

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