Symmetry properties of and reduction principles for divisibility relations between the invariant factors of products of holomorphic matrix functions
type: Item
instance of: scholarly article
title: Symmetry properties of and reduction principles for divisibility relations between the invariant factors of products of holomorphic matrix functions
zbMATH Open document ID: 0824.15010
DOI: 10.1016/0024-3795(93)00165-V
published in: Linear Algebra and its Applications
publication date: 1995-06-12T00:00:00Z
review text: The invariant factors of matrices whose entries are power series holomorphic near zero in a variable \(\lambda\) are given by a sequence \(\lambda^{\gamma_ n}| \lambda^{\gamma_ n- 1}|\cdots| \lambda^{\gamma_ 1}\) of powers of \(\lambda\). This paper deals with the relations between the invariant factors of a product and those of the factors. It obtains new symmetries and reduction principles, and a complete set of relations involving triplets.
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 753866
zbMATH Keywords: divisibility relations
zbMATH Keywords: holomorphic matrix functions
zbMATH Keywords: Young tableaux
zbMATH Keywords: invariant factors
zbMATH Keywords: reduction principles
author: G. Philip. A. Thijsse
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
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full work available at URL: 0024-3795(93)00165-v
OpenAlex ID: W2068630560
description: scientific article; zbMATH DE number 753866