Classification of the pairs of matrices of fixed Jordan types and representations of bundles of semichains

• Date: 2023
• Main Authors: Bondarenko, V. M., Zubaruk, O. V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: Jordan type; completed poset; bundle of semichains; representation; tame and wild; polynomial and non-polynomial growth; 15A21; 15A30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2165
• Journal Title: Algebra and Discrete Mathematics

We study the problem of classifying the pairs of matrices over an algebraically closed field with some restrictions on their Jordan canonical forms using earlier results of the first author. All tame and wild, polynomial and non-polynomial growth cases are described.