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On minimal representations of Chevalley groups of type D n , E n and G 2

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Let G be a simply connected Chevalley group of type D n , E n or G2. In this paper, we show that the minimal representation of G is unique for types D n and E n and it does not exist for the type G2.

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Authors and Affiliations

  1. Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Singapore

    Hung Yean Loke

  2. Department of Mathematics, University of Utah, Salt Lake City, UT, 84112, USA

    Gordan Savin

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  1. Hung Yean Loke
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  2. Gordan Savin
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Correspondence to Gordan Savin.

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Loke, H.Y., Savin, G. On minimal representations of Chevalley groups of type D n , E n and G 2 . Math. Ann. 340, 195–208 (2008). https://doi.org/10.1007/s00208-007-0144-9

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  • DOI: https://doi.org/10.1007/s00208-007-0144-9

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