Singularities of Schubert Varieties within a Right Cell

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Lanini, Martina, McNamara, Peter J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211353
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Singularities of Schubert Varieties within a Right Cell. Martina Lanini and Peter J. McNamara. SIGMA 17 (2021), 070, 9 pages

We describe an algorithm that pattern embeds, in the sense of Woo-Yong, any Bruhat interval of a symmetric group into an interval whose extremes lie in the same right Kazhdan-Lusztig cell. This apparently harmless fact has applications in finding examples of reducible associated varieties of ₙ-high...