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The study proves algebra of matrix invariants under conjugations, indicating their normalized form.
For any connected reductive linear group HSL n (k) it is proved that the algebra of invariants of a set of matrices X 1 ,...,X p H (p 2) under simultaneous conjugations by matrices of N (H) is the normalization of the algebra generated by the traces tr X i 1 ...X i k .
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E. B. Vinberg (1996) studied this question.
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