The containment poset of type \(A\) Hessenberg varieties

• Date: 2020
• Main Author: Drellich, E.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: Hessenberg variety; root space; poset; 14A25; 17B45; 05E99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1216
• Journal Title: Algebra and Discrete Mathematics

Flag varieties are well-known algebraic varieties with many important geometric, combinatorial, and representation theoretic properties. A Hessenberg variety is a subvariety of a flag variety identified by two parameters: an element \(X\) of the Lie algebra \(\mathfrak{g}\) and a Hessenberg subspace...