Oct 6 – 10, 2025
EIMI
Europe/Moscow timezone

Polynomial supersymmetry for Matrix Hamiltonians and reducibility of matrix intertwining operators.

Oct 6, 2025, 5:20 PM
20m
Main hall

Main hall

Session talk Section D: Gravitation and cosmology Section D: Gravitation and cosmology

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)

Presentation materials