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Separating invariants of three nilpotent 3 x 3 matrices

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Author(s):
Cavalcante, Felipe Barbosa ; Lopatin, Artem
Total Authors: 2
Document type: Journal article
Source: Linear Algebra and its Applications; v. 607, p. 20-pg., 2020-12-15.
Abstract

The algebra O(N-n(d))(GLn) of GL(n)-invariants of d-tuple of n xn 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 describe a minimal separating set for this algebra in case n = d = 3. (C) 2020 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants