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Unipotent Elements in Small Characteristic, II

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Abstract

Let G be a special orthogonal group over an algebraically closed field of characteristic exponent p. In this paper we extend certain aspects of the Dynkin–Kostant theory of unipotent elements of G (when p = 1) to the general case (including p = 2).

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References

  1. B. Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple, Amer. J. Math. 81 (1959), 973–1032.

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  2. G. Lusztig, Notes on unipotent classes, Asian J. Math. 1 (1997), 194–207.

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  3. G. Lusztig, Unipotent elements in small characteristic, Transform. Groups 10 (2005), 449–487.

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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.

Additional information

Dedicated to Bert Kostant on the occasion of his 80th birthday

*Supported in part by the National Science Foundation.

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Lusztig, G. Unipotent Elements in Small Characteristic, II. Transformation Groups 13, 773–797 (2008). https://doi.org/10.1007/s00031-008-9021-1

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  • DOI: https://doi.org/10.1007/s00031-008-9021-1

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