论文标题

分开三个nilpotent 3x3矩阵的不变性

Separating invariants of three nilpotent 3x3 matrices

论文作者

Cavalcante, Felipe Barbosa, Lopatin, Artem

论文摘要

n x n nilpotent矩阵的d-tuple的代数相对于同时的共轭作用,是由nilpotent通用矩阵的产物的痕迹产生的,在特征性零的代数封闭场中。我们描述了该代数的最小分离集,以防n = d = 3。

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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