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Unipotent elements in small characteristic, IV

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Abstract

We consider the variety of nilpotent elements in the dual of the Lie algebra of a reductive group over an algebraically closed field. We propose a definition of a partition of this variety into locally closed smooth subvarieties indexed by the unipotent classes in the corresponding group over the complex numbers. We obtain explicit results in types A, C and D.

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Authors and Affiliations

  1. Department of Mathematics, MIT, Cambridge, MA, 02139, USA

    G. Lusztig

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  1. G. Lusztig
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Correspondence to G. Lusztig.

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Dedicated to Vladimir Morozov on the 100th anniversary of his birth

Supported in part by the National Science Foundation.

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Lusztig, G. Unipotent elements in small characteristic, IV. Transformation Groups 15, 921–936 (2010). https://doi.org/10.1007/s00031-010-9109-2

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  • DOI: https://doi.org/10.1007/s00031-010-9109-2

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