Separating invariants for 2x2 matrices
Ivan Kaygorodov, Artem Lopatin, Yury Popov
TL;DR
This paper identifies a minimal set of invariants that can distinguish between different tuples of 2x2 matrices over any infinite field, advancing the understanding of matrix invariants.
Contribution
It provides the first explicit minimal separating set for the algebra of invariants of multiple 2x2 matrices over arbitrary characteristic fields.
Findings
Explicit minimal separating set constructed
Applicable to matrices over any infinite field
Enhances understanding of matrix invariants
Abstract
A minimal separating set is found for the algebra of matrix invariants of several 2x2 matrices over an infinite field of arbitrary characteristic
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