Faithful representations of SL(2) over truncated Witt vectors
classification
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math.AG
keywords
faithfulvectorswittalgebraicalgebraicallycharacteristiccloseddimension
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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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