Minimax equivalence method: initial ideas, first applications and new concepts

• Дата: 2024
• Автор: Bondarenko, Vitaliy M.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2024
• Теми: positive poset; P-critical poset; minimax equivalence; Tits quadratic form; 0-isomorphism; minimax system of generators; 06A07; 11E04
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2332
• Назва журналу: Algebra and Discrete Mathematics

In 2005, the author introduced for posets the notion of (min, max)-equivalence (later called minimax equivalence). This equivalence preserves \(\mathbb{Z}\)-equivalence of the corresponding Tits quadratic forms which play an important role in modern representation theory. The minimax equivalence met...