ON IMAGES OF REAL REPRESENTATIONS OF SPECIAL LINEAR GROUPS OVER COMPLETE DISCRETE VALUATION RINGS
Glasgow mathematical journal, Tome 58 (2016) no. 1, pp. 263-272

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we investigate the abstract homomorphisms of the special linear group SLn($\mathfrak{O}$) over complete discrete valuation rings with finite residue field into the general linear group GLm($\mathbb{R}$) over the field of real numbers. We show that for m < 2n, every such homomorphism factors through a finite index subgroup of SLn($\mathfrak{O}$). For $\mathfrak{O}$ with positive characteristic, this result holds for all m ∈ ${\mathbb N}$.
FERNÓS, TALIA; SINGLA, POOJA. ON IMAGES OF REAL REPRESENTATIONS OF SPECIAL LINEAR GROUPS OVER COMPLETE DISCRETE VALUATION RINGS. Glasgow mathematical journal, Tome 58 (2016) no. 1, pp. 263-272. doi: 10.1017/S001708951500018X
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