Speaker
Andrey Sokolov
(Military Academy of the Signal Corps)
Description
We consider different types of reducibility of a matrix $n\times n$ intertwining operator and reveal criterion for regular reducibility. It is shown that in contrast to the scalar case $n = 1$ there are for any $n\geqslant 2$ regularly absolutely irreducible matrix intertwining operators of any order $N\geqslant 2$, i.e. operators which cannot be factorized into a product of a matrix intertwining operators of lower orders even with a pole singularity(-ies) into coefficients.
Author
Andrey Sokolov
(Military Academy of the Signal Corps)