Geodesic
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

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DOI

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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     author = {FERN\'OS, TALIA and SINGLA, POOJA},
     title = {ON {IMAGES} {OF} {REAL} {REPRESENTATIONS} {OF} {SPECIAL} {LINEAR} {GROUPS} {OVER} {COMPLETE} {DISCRETE} {VALUATION} {RINGS}},
     journal = {Glasgow mathematical journal},
     pages = {263--272},
     year = {2016},
     volume = {58},
     number = {1},
     doi = {10.1017/S001708951500018X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951500018X/}
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