Billiards and Tilting Characters for SL₃

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Lusztig, G., Williamson, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209449
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Billiards and Tilting Characters for SL₃ / G. Lusztig, G. Williamson // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 26 назв. — англ.

We formulate a conjecture for the second generation characters of indecomposable tilting modules for SL₃. This gives many new conjectural decomposition numbers for symmetric groups. Our conjecture can be interpreted as saying that these characters are governed by a discrete dynamical system ("b...