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

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

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.

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Bibliographic Details
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
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Institution:	Nanyang Technological University
Language:	English

Description
Summary:	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.