Science China Mathematics

, Volume 61, Issue 2, pp 295–298 | Cite as

On the character of certain tilting modules

  • George Lusztig
  • Geordie Williamson


Let G be a semisimple group over an algebraically closed field of characteristic p > 0. We give a (partly conjectural) closed formula for the character of many indecomposable tilting rational G-modules assuming that p is large.


semisimple group tilting module character formula 




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The work of G. Lusztig was supported by National Science Foundation of USA (Grant No. DMS-1303060) and by a Simons Fellowship. The authors thank H. H. Andersen for help with the references.


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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Max Planck Institut für MathematikBonnGermany

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