A way to compose a matrix $P$ and a finite dimensional representation $\rho$ of $C$ via a map $h$ into a new matrix $P\ast_h \rho$ is defined. Several results about the spectrum, eigenvectors, kernel and rank of $P\ast_h \rho$ are proved.
Spectral properties for a new composition of a matrix and a complex representation / Z. Lin, Y. Liu, G. Molteni, D. Zhang. - In: THE ELECTRONIC JOURNAL OF LINEAR ALGEBRA. - ISSN 1537-9582. - 23(2012 May), pp. 530-539.
Spectral properties for a new composition of a matrix and a complex representation
G. Molteni;
2012
Abstract
A way to compose a matrix $P$ and a finite dimensional representation $\rho$ of $C$ via a map $h$ into a new matrix $P\ast_h \rho$ is defined. Several results about the spectrum, eigenvectors, kernel and rank of $P\ast_h \rho$ are proved.
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