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Separating invariants of three nilpotent 3x3 matrices

Published 28 Jul 2020 in math.RA, math.AC, and math.RT | (2007.13923v2)

Abstract: The algebra of GL_n-invariants of d-tuple of n x n nilpotent matrices with respect to the action by simultaneous conjugation is generated by the traces of products of nilpotent generic matrices in the case of an algebraically closed field of characteristic zero. We described a minimal separating set for this algebra in case n=d=3.

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