Faithful representations of SL(2) over truncated Witt vectors
Representation Theory
2007-05-23 v3 Algebraic Geometry
Abstract
Let G be the six dimensional linear algebraic k-group SL_2(W_2), where W_2 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.
Keywords
Cite
@article{arxiv.math/0109107,
title = {Faithful representations of SL(2) over truncated Witt vectors},
author = {George J. McNinch},
journal= {arXiv preprint arXiv:math/0109107},
year = {2007}
}
Comments
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