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9.31 (1984)

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Let $k$ be a field of characteristic 0. According to (Yu. I. Merzlyakov, Proc. Steklov Inst. Math., 167 (1986), 263–266), the family $\operatorname{Rep}_k(G)$ of all canonical matrix representations of a $k$-powered group $G$ over $k$ may be regarded as an affine $k$-variety. Find an explicit form of equations defining this variety.

Contributor: Yu. I. Merzlyakov

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