Billiards and Tilting Characters for SL₃

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...

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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
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine