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Unipotent elements in small characteristic

表示论 2007-05-23 v2

摘要

We make a study of unipotent elements in a connected reductive group over an algebraically closed field with emphasis on the case where the characteristic is a bad prime. We try to see how much of the theory of Dynkin-Kostant extends to this case. We also study the variety of Borel subgroups containing a unipotent element and prove a purity property for its cohomology in certain cases in bad characteristic.

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引用

@article{arxiv.math/0503739,
  title  = {Unipotent elements in small characteristic},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:math/0503739},
  year   = {2007}
}

备注

39 pages