English

Unipotent character sheaves and strata of a reductive group

Representation Theory 2023-11-02 v6

Abstract

Let H be a connected reductive group over an algebraically closed field. We define a surjective map from the set CS(H) of unipotent character sheaves on H (up to isomorphism) to the set of strata of H. To do this we use the generalized Springer correspondence. We also give a new parametrization of CS(H) in terms of data coming from bad characteristic. Some minor errors corrected.

Keywords

Cite

@article{arxiv.2210.14422,
  title  = {Unipotent character sheaves and strata of a reductive group},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:2210.14422},
  year   = {2023}
}

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16 pages