The containment poset of type A Hessenberg varieties

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Author: Drellich, E.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188515
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The containment poset of type A Hessenberg varieties / E. Drellich // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 195–210. — Бібліогр.: 15 назв. — англ.

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 g and a Hessenberg subspace H ⊆ g. This paper...