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Faithful representations of SL(2) over truncated Witt vectors

George J. McNinch

math.RTarXiv:math/0109107

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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