Faithful representations of SL(2) over truncated Witt vectors

Details Faithful representations of SL(2) over truncated Witt vectors Faithful representations of SL(2) over truncated Witt vectors

2001-09-17

arxiv.org/abs/math/0109107v3

Journal of Algebra 265 (2003) 606-618

Mathematics

Representation Theory

New title. New section 9 contains a finite group version of the main result. 11 pages, AMS LaTeX. To appear in the Journal of

Scientific paper

10.1016/S0021-8693(03)00269-2

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.

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