Differential graded categories associated with the critical semi-definite quadratic forms

• Date: 2018
• Main Authors: Gnatiuk, Olena, Golovaschuk, Natalia
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: differential graded category; graded graph; critical quadratic form; affine diagram; 16G60; 15A63; 20F65; 57M20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1156
• Journal Title: Algebra and Discrete Mathematics

This work concerns with classification problem of differential graded categories with critical semi-definite quadratic form. We prove that such problem which satisfies some correctness conditions can be transformed to differential graded category with directed graded graph, which is a quiver of affi...