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ON IMAGES OF REAL REPRESENTATIONS OF SPECIAL LINEAR GROUPS OVER COMPLETE DISCRETE VALUATION RINGS

Fernos, Talia and Singla, Pooja (2016) ON IMAGES OF REAL REPRESENTATIONS OF SPECIAL LINEAR GROUPS OVER COMPLETE DISCRETE VALUATION RINGS. In: GLASGOW MATHEMATICAL JOURNAL, 58 (1). pp. 263-272.

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Official URL: http://dx.doi.org/10.1017/S001708951500018X

Abstract

In this paper, we investigate the abstract homomorphisms of the special linear group SLn(D) over complete discrete valuation rings with finite residue field into the general linear group GL(m)(R) over the field of real numbers. We show that for m < 2n, every such homomorphism factors through a finite index subgroup of SLn(D). For D with positive characteristic, this result holds for all m is an element of N.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the CAMBRIDGE UNIV PRESS, 32 AVENUE OF THE AMERICAS, NEW YORK, NY 10013-2473 USA
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 30 Jun 2016 05:35
Last Modified: 30 Jun 2016 05:35
URI: http://eprints.iisc.ac.in/id/eprint/54104

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