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Character Sheaves for Classical Graded Lie Algebras

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Abstract

In this note we study character sheaves for graded Lie algebras arising from inner automorphisms of special linear groups and Vinberg’s type II classical graded Lie algebras.

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Acknowledgements

I thank Pavel Etingof, Oscar Kivinen, Ivan Losev, George Lusztig, Emily Norton, Peng Shan, Cheng-Chiang Tsai, Kari Vilonen, and Zhiwei Yun for helpful discussions. Special thanks are due to Dennis Stanton for teaching me the counting arguments. I also thank the referee for helpful comments.

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of Melbourne, Melbourne, VIC, 3010, Australia

    Ting Xue

  2. Department of Mathematics and Statistics, University of Helsinki, Helsinki, 00014, Finland

    Ting Xue

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  1. Ting Xue
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Correspondence to Ting Xue.

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The author declares no conflict of interest.

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Supported by Australian Research Council (Grant No. DP150103525)

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Xue, T. Character Sheaves for Classical Graded Lie Algebras. Acta. Math. Sin.-English Ser. 40, 870–884 (2024). https://doi.org/10.1007/s10114-023-2079-9

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  • DOI: https://doi.org/10.1007/s10114-023-2079-9

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