Spectral properties for a new composition of a matrix and a complex representation

• Main Authors: Liu, Y., Molteni, G., Zhang, D., Lin, Z.
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics::Algebra
• Online Access: https://hdl.handle.net/10356/106284; http://hdl.handle.net/10220/24005; http://www.mat.unimi.it/users/molteni/research/papers-pdf/29-molteni-Spectral_properties_for_a_new_composition_of_a_matrix_and_a_complex_representation.pdf
• Institution: Nanyang Technological University

A way to compose a matrix P and a finite dimensional representation ρ of C via a map h into a new matrix P *h ρ is defined. Several results about the spectrum, eigenvectors, kernel and rank of P *h ρ are proved.