Symmetry properties of and reduction principles for divisibility relations between the invariant factors of products of holomorphic matrix functions
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.
scientific article; zbMATH DE number 753866
scientific article