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On the character of certain tilting modules

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Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139-4307, USA

    George Lusztig

  2. Max Planck Institut für Mathematik, Bonn, 53111, Germany

    Geordie Williamson

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  1. George Lusztig
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  2. Geordie Williamson
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Correspondence to George Lusztig.

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Lusztig, G., Williamson, G. On the character of certain tilting modules. Sci. China Math. 61, 295–298 (2018). https://doi.org/10.1007/s11425-017-9162-9

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  • DOI: https://doi.org/10.1007/s11425-017-9162-9

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