Faithful representations of SL(2) over truncated Witt vectors

2001/09/30 by George J. McNinch
Mathematics · #math.RT #math.AG #msc:20G05 #msc:20G15 #msc:20G30

paper · pdf · doi:10.1016/s0021-8693(03)00269-2

published as Journal of Algebra 265 (2003) 606-618 · New title. New section 9 contains a finite group version of the main result. 11 pages, AMS LaTeX. To appear in the Journal of Algebra

arxiv created 2002/09/20 · arxiv updated 2009/11/30

Abstract

Let G be the six dimensional linear algebraic k-group SL₂(W₂), where W₂ is the ring of Witt vectors of length two over the algebraically closed field k of characteristic p>2. Then the minimal dimension of a faithful rational k-representation of G is p+3.

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