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

• Date: 2024
• Main Author: Bondarenko, Vitaliy M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2024
• Subjects: positive poset; P-critical poset; minimax equivalence; Tits quadratic form; 0-isomorphism; minimax system of generators; 06A07; 11E04
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2332
• Journal Title: 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...