A complete unitary similarity invariant for unicellular matrices

2010/10/30 by Farenick, Douglas, Gerasimova, Tatiana G., Shvai, Nadya
#15A21 #15A60 #47A05 #47A65 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1011.0043

Abstract

We present necessary and sufficient conditions for an n× n complex matrix B to be unitarily similar to a fixed unicellular (i.e., indecomposable by similarity) n× n complex matrix A

Related

• Arveson's criterion for unitary similarity
• Unitary equivalence to a complex symmetric matrix: a modulus criterion
• Unitary Similarity of Nonderogatory Matrices
• Polynomial Algorithms for Simultaneous Unitary Similarity and Equivalence
• Preservers of Unitary Similarity Functions on Lie Products of Matrices