Separating invariants of three nilpotent 3x3 matrices
Rings and Algebras
2020-08-18 v2 Commutative Algebra
Representation Theory
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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Cite
@article{arxiv.2007.13923,
title = {Separating invariants of three nilpotent 3x3 matrices},
author = {Felipe Barbosa Cavalcante and Artem Lopatin},
journal= {arXiv preprint arXiv:2007.13923},
year = {2020}
}
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17 pages